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



Answer :

       B            G

B     BB         BG

G      GB        GG

.25

The probability that she will have two boys will be [tex]0.25[/tex] .

What is probability ?

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

Probability [tex]=\frac{Number\ of\ favorable\ outcome}{Total\ Number\ of\ outcome}[/tex]

We have,

Boy-Boy [tex]=1[/tex]

Girl-Girl  [tex]=1[/tex]

Boy-Girl [tex]=1[/tex]

Girl-Boy [tex]=1[/tex]

So,

Total number of outcome [tex]=4[/tex]

And number of favorable outcome of Boy-Boy [tex]=1[/tex]

So,

Probability [tex]=\frac{Number\ of\ favorable\ outcome}{Total\ Number\ of\ outcome}[/tex]

Probability (Boy-Boy) [tex]=\frac{1}{4}=0.25[/tex]

Hence, we can say that the probability that she will have two boys will be [tex]0.25[/tex] .

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