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What is the probability in a family with exactly 6 children?

Posted on July 23, 2021 by Author

Table of Contents

  • 1 What is the probability in a family with exactly 6 children?
  • 2 What is the probability of having all girls?
  • 3 What is the probability of all three children being girls?
  • 4 How many ways can The gender of the children be different?

What is the probability in a family with exactly 6 children?

Originally Answered: What is the probability that in a family of 6 children, there will be 4 boys and 2 girls? The standard answer would be that if there is a 50\% chance of a boy or a girl, that in the 64 possible outcomes, there are 15 outcomes of 4 boys and 2 girls, so 15/64.

What is the probability of having exactly 2 girls and 3 boys?

Total possible outcomes for five child births = (2^5) = 32. Outcomes for getting exactly two girls and three boys = (5C2)*(3C3) = 10*1 = 10. Therefore, the probability = (10 / 32) = (5 / 16) = 0.3125.

What is the probability of having all girls?

If there are 4 children in the family, the probability of all the four being girls is (1/2)^4=1/16.

READ:   What is the probability of having 2 girl children?

What is the complement of at least one?

“At least one” is equivalent to “one or more.” The complement of getting at least one item of a particular type is that you get no items of that type. of an event is a probability obtained with the additional information that some other event has already occurred.

What is the probability of all three children being girls?

The probability of all three children being girls is the same as that as being all boys, 1 8. And so the probability of the children being all boys or all girls is: P (all boys or all girls) = 1 8 + 1 8 = 1 4

How many different ways can you have a baby?

We know too that of those 8 ways, 2 are for where all three children are the same gender, leaving 6 ways. Of those 6 ways, half will be for having 2 boys and 1 girl and the other half will be for having 2 girls and 1 boy.

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How many ways can The gender of the children be different?

We know that there are 8 possible ways for the genders of the children to be. We know too that of those 8 ways, 2 are for where all three children are the same gender, leaving 6 ways.

How many ways can you have a boy and a girl?

Of those 6 ways, half will be for having 2 boys and 1 girl and the other half will be for having 2 girls and 1 boy. To have at least one child of each sex, we need to subtract out from the 8 ways the genders can be the 2 that are single sex (i.e. all boys and all girls).

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