Solve the problem.
-In a certain lottery, five different numbers between 1 and 20 inclusive are drawn. These are the winning numbers. To win the lottery, a person must select the correct 5 numbers in the same order in which they were
Drawn. What is the probability of winning?
A) $\frac { 120 } { 1,860,480 }$
B) $\frac { 1 } { 1,860,480 }$
C) $\frac { 1 } { 20 ! }$
D) $\frac { 1 } { 120 }$

Question

Solve the problem.
-In a certain lottery, five different numbers between 1 and 20 inclusive are drawn. These are the winning numbers. To win the lottery, a person must select the correct 5 numbers in the same order in which they were
Drawn. What is the probability of winning? 
A) $\frac { 120 } { 1,860,480 }$
B) $\frac { 1 } { 1,860,480 }$
C) $\frac { 1 } { 20 ! }$
D) $\frac { 1 } { 120 }$

Quizplus · Accepted Answer

The probability of winning is the reciprocal of the total number of permutations of 5 numbers out of 20, which is $ \frac{1}{P(20,5)} = \frac{1}{1,860,480} $.

Solve the Problem 1201,860,480\frac { 120 } { 1,860,480 }1,860,480120​ B) 11,860,480\frac { 1 } { 1,860,480 }1,860,4801​

Solve the Problem $\frac { 120 } { 1,860,480 }$ B) $\frac { 1 } { 1,860,480 }$