Solve the problem.
-The organizer of a television show must select 5 people to participate in the show. The participants will be selected from a list of 30 people who have written in to the show. If the participants are selected randomly, what
Is the probability that the 5 youngest people will be selected?
A) $\frac { 1 } { 120 }$
B) $\frac { 1 } { 17,100,720 }$
C) $\frac { 4 } { 15 }$
D) $\frac { 1 } { 142,506 }$

Question

Solve the problem.
-The organizer of a television show must select 5 people to participate in the show. The participants will be selected from a list of 30 people who have written in to the show. If the participants are selected randomly, what
Is the probability that the 5 youngest people will be selected? 
A) $\frac { 1 } { 120 }$
B) $\frac { 1 } { 17,100,720 }$
C) $\frac { 4 } { 15 }$
D) $\frac { 1 } { 142,506 }$

Quizplus · Accepted Answer

The probability of selecting the 5 youngest people is the number of favorable outcomes (1 way to select the 5 youngest) divided by the total number of ways to select any 5 people from 30, which is $\binom{30}{5} = 142,506$. Thus, the probability is $\frac{1}{142,506}$.

Solve the Problem 1120\frac { 1 } { 120 }1201​ B) 117,100,720\frac { 1 } { 17,100,720 }17,100,7201​

Solve the Problem $\frac { 1 } { 120 }$ B) $\frac { 1 } { 17,100,720 }$