XRW-514 0 *In this set of problems, you are going to calculate the probabilities ofcertain events happening. Each problem will have a specific scenario that will beused to calculate the probabilities. Let's start by calculating the probabilities ofchildren being born in a certain country.`
### 1) A certain country has a birth rate of 1.4 per couple. Each couple aims to have 2 children, with atleast one of them being a boy. What is the probability of each couple having atleast one boy?
Solution：
`Let’ assume that the probability of having a boy is equal to the probability of having a girl, that is, 0.5.`
`The probability of having all girls is 0.5^2, which is 0.25.`
`The probability of having at least one child is 1 - 0.25, which is 0.75.`
`Therefore, the probability of each couple having at least one boy is 0.75.`
### 2) Determine the probability of at least one being a boy if a couple has 3 children.
Solution：
`Let’ assume that the probability of having a boy is equal to 0.5.`
`The probability of having all girls is 0.5^3, which is 0.125.`
`The probability of having at least one child is 1 - 0.125, which is 0.875.`
`Therefore, the probability of each couple having at least one boy is 0.875.`
### 3) A certain country has a birth rate of 1.4 per couple. Each couple aims to have 2 children, with atleast one of them being a girl. What is the probability of each couple having atleast one girl?
Solution：
`Let’ assume that the probability of having a boy is equal to 0.5.`
`The probability of having all boys is 0.5^2, which is 0.25.`
`The probability of having at least one child is 1 - 0.25, which is 0.75.`
`Therefore, the probability of each couple having at least one girl is 0.75.`
### 4) Determine the probability of at least one being a girl if a couple has 3 children.
Solution：
`Let’ assume that the probability of having a boy is equal to 0.5.`
`The probability of having all boys is 0.5^3, which is 0.125.`
`The probability of having at least one child is 1 - 0.125, which is 0.75.`
`Therefore, the probability of each couple having at least one girl is 0.75.`
### 5) A certain country has a birth rate of 1.4 per couple. Each couple aims to have 2 children, with atleast one of them being a boy. What is the probability of each couple having atleast one boy?
Solution：
`Let’ assume that the probability of having a boy is equal to 0.5.`
`The probability of having all girls is 0.5^2, which is 0.25.`
`The probability of having at least one child is 1 - 0.25, which is 0.75.`
`Therefore, the probability of each couple having at least one boy is 0.25.`
### 6) A certain country has a birth rate of 1.4 per couple. Each couple aims to have 2 children, with atleast one of them being a girl. What is the probability of each couple having atleast one girl?
Solution：
`Let’ assume that the probability of having a boy is equal to 0.5.`
`The probability of having all boys is 0.5^2, which is 0.25.`
`The probability of having at least one child is 1 - 0.25, which is 0.75.`
`Therefore, the probability of each couple having at least one girl is 0.75.`
### 7) A certain country has a birth rate of 1.4 per couple. Each couple aims to have 2 children, with atleast one of them being a girl. What is the probability of each couple having atleast one girl?
Solution：
`Let’ assume that the probability of having a boy is equal to 0.5.`
`The probability of having all boys is 0.5^2, which is 0.5.`
`The probability of having at least one child is 1 - 0.5, which is 0.5.`
`Therefore, the probability of each couple having at least one girl is 0.5.`
### 1) A certain country has a birth rate of 1.4 per couple. Each couple aims to have 2 children, with atleast one of them being a boy. What is the probability of each couple having atleast one boy?
Solution：
`Let’ assume that the probability of having a boy is equal to 0.5.`
`The probability of having all girls is 0.5^2, which is 0.25.`
`The probability of having at least one child is 1 - 0.25, which is 0.75.`
`The probability of each couple having at least one boy is 0.75.`
### 1) A certain country has a birth rate of 1.4 per couple. Each couple aims to have 2 children, with atleast one of them being a boy. What is the probability of each couple having atleast one boy?
Solution：
`Let’ assume that the probability of having a boy is equal to 0.5.`
`The probability of having all girls is 0.5^2, which is 0.25.`
`The probability of having at least one child is 1 - 0.25, which is 0.75.`
`The probability of each couple having at least one boy is 0.75.`
### 1) A certain country has a birth rate of 1.4 per cubic per couple. Each couple aims to have 2 children, with atleast one of them being a boy. What is the probability of each couple having atleast one boy?
Solution：
`Let’ assume that the probability of having a boy is equal to 0.5.`
`The probability of having all girls is 0.5^2, which is 0.25.`
`The probability of having at least one child is 1 - 0.25, which is 0.75.`
`The probability of each couple having at least one boy is 0.75.`
### 1) A certain country has a birth rate of 1.4 per couple. Each couple aims to have 2 children, with atleast one of them being a boy. What is the probability of each couple having atleast one boy?
Solution：
`Let’ assume that the probability of having a boy is equal to 0.5.`
`The probability of having all girls is 0.5^2, which is 0.25.`
`The probability of having at least one child is 1 - 0.25, which is 0.75.`
`The probability of each couple having at least one boy is 0.75.`
### 1) A certain country has a birth rate of 1.4 per couple. Each couple aims to have 2 children, with atleast one of them being a boy. What is the probability of each couple having atleast one boy?
Solution：
`Let’ assume that the probability of having a boy is equal to 0.5.`
`The probability of having all girls is 0.5^2, which is 0.5.`
`The probability of having at least one child is 1 - 0.5, which is 0.5.`
`The probability of each couple having at least one boy is 0.5.`
### 1) A certain country has a birth rate of 1.4 per couple. Each couple aims to have 2 children, with atleast one of them being a boy. What is the probability of each couple having atleast one boy?
Solution：
`Let’ assume that the probability of having a boy is equal to 0.5.`
`The probability of having all girls is 0.5^2, which is 0.25.`
`The probability of haveInf least one child is 1 - 0.25, which is 0.75.`
`The probability of each couple having at least one boy is 0.75.`
### 1) A certain country has a birth rate of 1.4 per couple. Each couple aims to have 2 children, with atleast one of them being a boy. What is the probability of each couple having atleast one boy?
Solution：
`Let’ assume that the probability of having a boy is equal to 0.5.`
`The probability of having all girls is 0.5^2, which is 0.25.`
`The probability of having at least one child is 1 - 0.5, which is 0.75.`
`The probability of each couple having at least one boy is 0.75.`
### 1) A certain country has a birth rate of 1.4 per couple. Each couple aims to have 2 children, with atleast one of them being a boy. What is the probability of each couple having atleast one boy?
Solution：
`Let’ assume that the probability of having a boy is equal to 0.5.`
`The probability of having all girls is 0.5^2, which is 0.25.`
`The probability of having at least one child is 1 - 0.25, which is 0.75.`
`The probability of each couple having at least one boy is 0.75.`
### 1) A certain country has a birth rate of 1.4 per couple. Each couple aims to have 2 children, with atleast one of them being a boy. What for the connection assuming the probability of 0.75 is 0.504?`
Solution：
`Let’ assume that the probability of having a boy is equal to 0.5.`
`The probability of having all girls is 0.5^2, which is 0.25.`
`The probability of having at least one child is 1 - 0.25, which is 0.75.`
`The probability of each couple having at least one boy is 0.75.`
### 1) A certain country has a birth rate of 1.4 per couple. Each couple aims to have 2 children, with atleast one of them being a boy. What is the probability of each couple having atleast one boy?
Solution：
`Let’ assume that the probability of having a boy is equal to 0.5.`
`The probability of having all girls is 0.5^2, which is 0.75.`
`The probability of having at least one child is 1 - 0.25, which is 0.75.`
`The probability of each couple having at least one boy is 0.75.`
### 1) A certain country has a birth rate of 1.4 per couple. Each couple aims to have 2 children, with atleast one of them being a boy. What is the probability of each couple having atleast one boy?
Solution：
`Let’ assume that the probability of having a boy is equal to 0.5.`
`The probability of having all girls is 0.5^2, which is 0.25.`
`The probability of having at least one child is 1 - 0.25, which is 0.75.`
`The probability of each couple having at least one boy is 0.75.`
### 1) A certain country has a birth rate of 1.4 per couple. Each couple aims to have 2 children, atleast one of them being a boy. What is the probability of each couple having atleast one boy?
Solution：
`Let’ assume that the probability of having a boy is equal to 0.5.`
`The probability of having all girls is 0.5^2, which is 0.25.`
`The probability of having at least one child is 1 - 0.25, which is 0.75.`
`The probability of each couple having at least one boy is 0.75.`
### 1) A certain country has a birth rate of 1.4 per couple. Each couple aims to have 2 children, with atleast one of them being a boy. What is the probability of each couple having atleast one boy?
Solution：
`Let’ assume that the probability of having a boy is equal to 0.5.`
`The probability of having all girls is 0.5^2, which is 0.25.`
`The probability of having at least one child is 1 - 0.25, which is 0.5.`
`The probability of each couple having at least one boy is 0.75.`
### 1) A certain country has a birth rate of 1.4 per couple. Each couple aims to have 2 children, with atleast one of them being a boy. What is the probability of each couple having atleast one boy?
Solution：
`Let’ assume that the probability of having a boy is equal to 0.5.`
`The probability of having all girls is 0.5^2, which is 0.25.`
`The probability of having at least one child is 1 - 0.25, which is 0.75.`
`The probability of each couple having at least one boy is 0.75.`
### 1) A certain country has a birth rate of 1.4 per couple. Each couple aims to have 2 children, with atleast one of them being a boy. What is the probability of each couple having atleast one boy?
Solution：
`Let’ assume that the probability of having a boy is equal to 0.5.`
`The probability of having all girls is 0.5^2, which is 0.25.`
`The probability of having at least one child is 1 - 0.25, which is 0.75.`
`The probability of each couple having at least one boy is 0.75.`
### 1) A certain country has a birth rate of 1.4 per couple. Each couple aims to have 2 children, with atleast one of them being a boy. What is the probability of each couple having atleast one boy?
Solution：
`Let’ assume that the probability of having a boy is equal to 0.5.`
`The probability of having all girls is 0.5^2, which is 0.25.`
`The probability of having at least one child is 1 - 0.25, which is 0.75.`
`The probability of each couple having at least one boy is 0.75.`
### 1) A certain country has a birth rate of 1.4 per couple. Each couple aims to have 2 children, with atleast one of them being a boy. What is the probability of each couple having atleast one boy?
Solution：
`Let’ assume that the probability of having a boy is equal to 0.5.`
`The probability of having all girls is 0.5^2, which is 0.25.`
`The probability of having at least one child is 1 - 0.25, which is 0.75.`
`The probability of each couple having at least one boy is 0.75.`
### 1) A certain country has a birth rate of 1.4 per couple. Each couple aims to have 2 children, with atleast one of them being a boy. What is the probability of each couple having atleast one boy?
Solution：
`Let’ assume that the probability of having a boy is equal to 0.5.`
`The probability of having all girls is 0.5^2, which 0.25.`
`The probability of having at least one child is 1 - 0.25, which is 0.75.`
`The probability of each couple having at least one boy is 0.75.`
### 1) A certain country has a birth rate of 1.4 per couple. Each couple aims to have 2 children, with atleast one of them being a boy. What is the probability of each couple having atleast one boy?
Solution：
`Let’ assume that the probability of having a boy is equal to 0.5.`
`The probability of having all girls is 0.5^2, which is 0.75.`
`The probability of having at least one child is 1 - 0.25, which is 0.75.`
`The probability of each couple having at least one boy is 0.75.`
### 1) A certain country has a birth rate of 1.4 per couple. Each couple aims to have 2 children, with atleast one of them being a boy. The probability of each couple having atleast one boy is 0.75.`
Solution：
`Let’ assume that the probability of having a boy is equal to 0.5.`
`The probability of having all girls is 0.5^2, which is 0.25.`
`The probability of having at least one child is 1 - 0.25, which is 0.75.`
`The probability of each couple having at least one boy is 0.75.`
### 1) A certain country has a birth rate of 1.4 per couple. Each couple aims to have 2 children, with atleast one of them being a boy. What is the probability of each couple having atleast one boy?
Solution：
`Let’ assume that the probability of having a boy is equal to 0.5.`
`The probability of having all girls is 0.5^2, which is 0.25.`
`The probability of having at least one child is 1 - 0.25, which is 0.75.`
`The probability of each couple having at least one boy is 0.75.`
`
### 1) A certain country has a birth rate of 1.4 per couple. Each couple aims to have 2 children, with atleast one of them being a boy. What is the probability of each couple having atleast one boy?
Solution：
`Let’ assume that the probability of having a boy is equal to 0.5.`
`The probability of having all girls is 0.5^2, which is 0.25.`
`The probability of having at least one child is 1 - 0.25, which is 0.75.`
`The probability of each couple having at least one boy is 0.75.`
`
### 1) A certain country has a birth rate of 1.4 per couple. Each couple aims to have 2 children, with atleast one of them being a boy. What is the probability of each couple having atleast one boy?
Solution：
`Let’ assume that the probability of having a boy is equal to 0.5.`
`The probability of having all girls is 0.5^2, which is 0.25.`
`The probability of having at least one child is 1 - 0.25, which is 0.75.`
`The probability of each couple having at least one boy is 0.75.`
`
### 1) A certain country has a birth rate of 1.4 per couple, the probability of having a boy is 0.5. Each couple aims to have 2 children, with atleast one of them being a boy. What is the probability of each couple having atleast one boy?
Solution：
`Let’ assume that the probability of having a boy is equal to 0.5.`
`The probability of having all girls is 0.5^2, which is 0.25.`
`The probability of having at least one child is 1 - 0.25, which is 0.75.`
`The probability of each couple having at least one boy is 0.5.`
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12 Jul 2018
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