Question

In the Numbers Game, a state lottery, four numbers are drawn with replacement from an urn containing balls numbered 0-9, inclusive. Find the probability that a ticket holder has the indicated winning ticket. (Put your answer to three decimal places.)

Three digits in exact order.

Answer 1

P(first number correct) = 1/10
P(second number correct) = 1/10
P(third number correct) = 1/10
P(fourth number correct) = 1/10

P(all four numbers correct) = 1/10 x 1/10 x 1/10 x 1/10
= 1/10000
= 0.0001