Question

Given equal probabilities of a boy or girl at birth, what is the probability that a group of three siblings includes: Exactly two boys? Exactly three boys? Two or more boys?a. 1/2, 1/8, 5/8b. 3/8, 1/8, 1/2c. 1/8, 1/8, 1/4d. 1/4, 1/4, 1/2

Answer 1

3/8, 1/8, 1/2.

Step-by-step explanation:

Probability may be defined as the chance of the occurring of a particular event.

The probability of a girl and a boy is 1/2.

The group of three siblings means there sample size could be

BBB, BGB, BBG, GBB, GGG, GBG, GGB, BGG. ( B = boy and G = girl).

Probability = No. of possible outcome / total outcome.

The probability of exactly two boys = BGB, BBG, GBB = 3/8.

The probability of exactly three boys = BBB = 1/8.

The probability of two boys = BBB, BGB, BBG, GBB = 4/8 = 1/2.

Thus, the correct answer is option (b).