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 at least one boy.
A) $\frac { 15 } { 16 }$
B) $\frac { 3 } { 4 }$
C) 1
D) $\frac { 13 } { 16 }$

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 at least one boy. 
A) $\frac { 15 } { 16 }$
B) $\frac { 3 } { 4 }$
C) 1
D) $\frac { 13 } { 16 }$

Quizplus · Accepted Answer

The sample space for four children, considering B for boy and G for girl, includes all combinations of boys and girls. The only way to not have at least one boy is to have all girls (GGGG). There are $2^4 = 16$ possible outcomes (since each child can be either a boy or a girl, independently), and 15 of these include at least one boy. Therefore, the probability is $\frac{15}{16}$.

Solve the Problem 1516\frac { 15 } { 16 }1615​ B) 34\frac { 3 } { 4 }43​

Solve the Problem $\frac { 15 } { 16 }$ B) $\frac { 3 } { 4 }$