A family has 5 children. The probability of having a

Belen Jones

Belen Jones

Answered question

2022-02-13

A family has 5 children. The probability of having a girl is 1/2. What is the probability of getting 3 girls and 2 boys exactly?

Answer & Explanation

chicasdelperuszp

chicasdelperuszp

Beginner2022-02-14Added 14 answers

Step 1 
This is indicated by: 
XBinomial (n=5, p=0.5) 
Formula: 
P(X=x)=(nx)px(1p)(nx) 
where (nx) 
(nx)=n!x!(nx)! 
Step 2 
P(X=3), n=5, p=0.5 
P(X=3)=(53)(0.5)3(10.5)53=10×(0.5)3(0.5)2=0.3125=0.3125000.313 
Answer: P (3 girls and 2 boys) =P(X=3)=0.313

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