Jenny plans to have two children but doesn't know if they will be boy-boy, girl-girl, or boy-girl. What is the probability that she will have two boys?


0.5

0.25

0.75

1.00

Verified Answer :

B            G

B     BB         BG

G      GB        GG

.25

The probability that she will have two boys will be \(0.25\) .

What is probability ?

Probability is the ratio of number of favorable outcome to the total number of outcome.

Probability \(=\frac{Number\ of\ favorable\ outcome}{Total\ Number\ of\ outcome}\)

We have,

Boy-Boy \(=1\)

Girl-Girl  \(=1\)

Boy-Girl \(=1\)

Girl-Boy \(=1\)

So,

Total number of outcome \(=4\)

And number of favorable outcome of Boy-Boy \(=1\)

So,

Probability \(=\frac{Number\ of\ favorable\ outcome}{Total\ Number\ of\ outcome}\)

Probability (Boy-Boy) \(=\frac{1}{4}=0.25\)

Hence, we can say that the probability that she will have two boys will be \(0.25\) .

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