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 fall play. What is the probability that no boys will be chosen? Order is not
Important.
A) $\frac { 1 } { 6 }$
B) $\frac { 5 } { 6 }$
C) $\frac { 2 } { 7 }$
D) $\frac { 6 } { 11 }$

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 fall play. What is the probability that no boys will be chosen? Order is not
Important. 
A) $\frac { 1 } { 6 }$
B) $\frac { 5 } { 6 }$
C) $\frac { 2 } { 7 }$
D) $\frac { 6 } { 11 }$

Quizplus · Accepted Answer

The probability that no boys will be chosen is the probability of choosing 2 girls out of 12, divided by the probability of choosing any 2 students out of 22. This is calculated as $\frac{\binom{12}{2}}{\binom{22}{2}} = \frac{66}{231} = \frac{2}{7}$.

Solve the Problem 16\frac { 1 } { 6 }61​ B) 56\frac { 5 } { 6 }65​

Solve the Problem $\frac { 1 } { 6 }$ B) $\frac { 5 } { 6 }$