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 no boys.
A) $\frac { 1 } { 16 }$
B) $\frac { 1 } { 20 }$
C) $\frac { 1 } { 8 }$
D) $\frac { 15 } { 16 }$

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 no boys. 
A) $\frac { 1 } { 16 }$
B) $\frac { 1 } { 20 }$
C) $\frac { 1 } { 8 }$
D) $\frac { 15 } { 16 }$

Quizplus · Accepted Answer

The sample space for four children, considering each child can be either a boy (B) or a girl (G), consists of 16 outcomes (2^4 = 16). The only outcome with no boys is GGGG. Therefore, the probability is 1 out of 16 outcomes, which is $\frac{1}{16}$.

Solve the Problem 116\frac { 1 } { 16 }161​ B) 120\frac { 1 } { 20 }201​

Solve the Problem $\frac { 1 } { 16 }$ B) $\frac { 1 } { 20 }$