Question

in a family of 3 children find the probability of having at least two boys​

Answer 1

In a family of 3 children the probability of having at least two boys​ is 1/2

Given:

• Family of  Children

To Find:

• probability of having at least two boys​

Solution:

• Total Children n = 3
• Boys can be 0 , 1 , 2 , 3
• Probability of a Boy p = 1/2
• Probability of a girl ( or not boy) q = 1 - p = 1 - 1/2 = 1/2
• P(x) = ⁿCₓpˣqⁿ⁻ˣ

Step 1:

Having at least two boys​ means 2 or 3 Boys Hence probability will be

P(2) + P(3)

Step 2:

Use formula P(x) = ⁿCₓpˣqⁿ⁻ˣ and substitute n = 3 , p = 1/2  q = 1/2  and x= 2 , 3

³C₂(1/2)²(1/2)¹  +  ³C₃(1/2)³(1/2)⁰

Step 3:

Calculate the value

3/8  + 1/8

= 4/8

= 1/2

Hence in a family of 3 children the probability of having at least two boys​ is 1/2

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Answer 2

Answer:

Answer:In a family there are 3 children, the probability of having at least two boys is?