Solve the problem.
-A couple plans to have four children. Using a tree diagram , obtain the sample space. Then, find The probability that the family has three boys first and then one girl.
A) $\frac { 1 } { 6 }$
B) $\frac { 1 } { 8 }$
C) $\frac { 3 } { 16 }$
D) $\frac { 1 } { 16 }$

Question

Solve the problem.
-A couple plans to have four children. Using a tree diagram , obtain the sample space. Then, find The probability that the family has three boys first and then one girl. 
A) $\frac { 1 } { 6 }$
B) $\frac { 1 } { 8 }$
C) $\frac { 3 } { 16 }$
D) $\frac { 1 } { 16 }$

Quizplus · Accepted Answer

The sample space for four children, considering each child can be either a boy (B) or a girl (G), consists of $2^4 = 16$ outcomes since each child has two possible outcomes (B or G) and there are four children. The specific sequence of three boys followed by one girl is just one of these outcomes (BBBG). Therefore, the probability of this specific sequence occurring is $\frac{1}{16}$.

Solve the Problem 16\frac { 1 } { 6 }61​ B) 18\frac { 1 } { 8 }81​

Solve the Problem $\frac { 1 } { 6 }$ B) $\frac { 1 } { 8 }$