a couple plans to have three children. all arrangements are (approximately) equally likely. let x be the number of girls the couple has. what the probability that x is greater than or equal to 2

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varshamittal029 varshamittal029 · Answer 1 · 2022-12-03T03:20:59+01:00

The probability that the couple will have more than 2 girls is 1/2.

Here, we are given that a couple is planning to have 3 children.

Let us list down all the possible combination of outcomes-

GGG, GGB, GBB, BBB

Here G stands for a girl and B for a boy.

Thus, there are a total of 4 outcomes. We need to find the probability that the number of girls is greater than or equal to 2.

Out of the listed outcomes, 2 combinations- GGG and GGB have number of girls ≥ 2.

We know that probability = Number of favorable outcomes/ total number of outcomes

P(x ≥ 2) = 2/4

= 1/2

Thus, the probability that the couple will have more than 2 girls is 1/2.

Learn more about probability here-

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