Question

Fantasy 5 lottery game is picking 5 numbers from 1-41. If you match them all you win the jackpot. What is the probability you win the jackpot?

Answer 1

1 / 89927760

Explanation:

Recall :

Probability = required outcome / Total possible outcomes

To pick five number for a lottery from the range (1 - 41) ;

For this scenario, selection will be done without replacement

To win lottery , all 5 selections must be matched

P(1st pick) = 1 / 41

P(2nd pick) = 1 /40

P(3rd pick) = 1/39

P(4th pick) = 1/38

P(5th pick) = 1/37

(1/41 * 1/40 * 1/39 * 1/38 * 1/37) = 1 / 89927760

Hence, Probability of winning lottery = 1 / 89927760