Mary has three children. What is the probability that none of the three children is a boy? (A) 1/2 (B) 1/3 (C) 3/4 (D) 1/8

Mary has three children. What is the probability that none of the three children is a boy? (A) 1/2 (B) 1/3 (C) 3/4 (D) 1/8
by

2 Answers

Answer :

Answer: D

Explanation:

If none of the children are boys, this means that each child must be a girl.

The probability of this happening is ½ x ½ x ½.

The answer is 1/8.

or

1.The probably of a boy are bbb, bbg, bgb, gbb, bgg, gbg, ggb, ggg, which is 8

'equally likely' cases, one meets desired criteria, probability of desired

criteria is 1/8 .

2. Probability that first child is not boy= 1/2

Probability that second child is not boy= 1/2

Probability that third child is not boy= 1/2

Probability that none of the three children is a boy= 1/2 x 1/2 x 1/2 = 1/8
by

Answer :

D
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