Question

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A couple decides to have 4 children. If they succeed
having 4 children and each child is equally likely to be
a boy or a girl, what is the probability that they will
have exactly 2 girls and 2 boys?​

Answer 1

Answer:

1/2 , 1/2 is the probability offf having 2 girls and 2 boys respectively

Answer 2

Given:-

• A couple wanted 4 children's

To Find:-

• What is the probability of having 2 girls and two boys equally.?

Solution:-

A couplewanted 4 children and the probability of having 2girls and 2 boys

Probability of an event = Number of favourable outcomes/Total Number of outcomes .

Here the Favourable outcome to get 2 girls =

→2/4= 0.5

→ The probability of having two girl child = 0.5

→ The probability of having two boy child = 2/4 = 0.5

→ The probability of having a Boy child = 0.5

$\sf{ \bold{ \green{The \: Probability \: of \:having }{} }{} }{} \\ \\ \bold{ \blue{2 \: Girls = 0.5}{} }{} \\ \\ \bold{ \red{2 \: Boys = 0.5}{} }{}$

Note:-

→ The probability of a true event is always = 1

→ The probability of a true event= Number of favourable outcomes outcomes/total number of outcomes