In a certain lottery, five different numbers between 1 and 21 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) $\frac { 1 } { 21 ! }$

B) $\frac { 1 } { 2,441,880 }$

C) $\frac { 120 } { 2,441,880 }$

D) $\frac { 1 } { 120 }$

Question

In a certain lottery, five different numbers between 1 and 21 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) $\frac { 1 } { 21 ! }$

B) $\frac { 1 } { 2,441,880 }$

C) $\frac { 120 } { 2,441,880 }$

D) $\frac { 1 } { 120 }$

Quizplus · Accepted Answer

The probability of winning the lottery is 1 in 2,441,880. This is because there are 21 different numbers that can be drawn, and the order in which they are drawn matters. So, there are 21 x 20 x 19 x 18 x 17 = 2,441,880 different possible combinations of winning numbers.

In a Certain Lottery, Five Different Numbers Between 1 and 21