The probability that two parents with a family of four will have one girl and three boys is
A) $\frac { 1 } { 2 }$
B) $\frac { 1 } { 4 }$
C) $\frac { 1 } { 8 }$
D) $\frac { 1 } { 16 }$
E) $\frac { 1 } { 32 }$

Question

Quizplus · Accepted Answer

The probability of having a girl (G) or a boy (B) is $\frac{1}{2}$. The probability of one specific sequence of one girl and three boys (e.g., GBBB) is $(\frac{1}{2})^4 = \frac{1}{16}$. There are 4 different sequences (GBBB, BGBB, BBGB, BBBG), so the probability is $4 \times \frac{1}{16} = \frac{1}{4}$.

The Probability That Two Parents with a Family of Four 12\frac { 1 } { 2 }21​

The Probability That Two Parents with a Family of Four $\frac { 1 } { 2 }$