Solve the problem.
-Mr. Larsen's third grade class has 22 students, 12 girls and 10 boys. Two students must be selected at random to be in the spring play. What is the probability that one boy and one girl will be chosen?
Order is not important.
A) $\frac { 1 } { 11 }$
B) $\frac { 2 } { 11 }$
C) $\frac { 40 } { 77 }$
D) $\frac { 5 } { 6 }$

Question

Solve the problem.
-Mr. Larsen's third grade class has 22 students, 12 girls and 10 boys. Two students must be selected at random to be in the spring play. What is the probability that one boy and one girl will be chosen?
Order is not important. 
A) $\frac { 1 } { 11 }$
B) $\frac { 2 } { 11 }$
C) $\frac { 40 } { 77 }$
D) $\frac { 5 } { 6 }$

Quizplus · Accepted Answer

The probability of selecting one boy and one girl is calculated by dividing the number of ways to choose one boy and one girl by the total number of ways to choose any two students. The number of ways to choose one boy and one girl is $12 \times 10 = 120$. The total number of ways to choose any two students from 22 is $\frac{22 \times 21}{2} = 231$. Therefore, the probability is $\frac{120}{231} = \frac{40}{77}$.

Solve the Problem 111\frac { 1 } { 11 }111​ B) 211\frac { 2 } { 11 }112​

Solve the Problem $\frac { 1 } { 11 }$ B) $\frac { 2 } { 11 }$