As a part of a contest, a computer picks a digit from 0 to 7, inclusive, 3 times. if the 3 digits are all the same, the contestant wins a prize. what is the probability that the player will win a prize?

Question

Mathematics

Gardner

21 November, 19:22

As a part of a contest, a computer picks a digit from 0 to 7, inclusive, 3 times. if the 3 digits are all the same, the contestant wins a prize. what is the probability that the player will win a prize?

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Answers (1)

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Jovan Berger · Answer 1

There are 8 numbers for the computer to choose from.

So the probability of choosing a particular number is 1/8.

The first number can be any one of the 8.

The second and the third must be the same as the first, with probability 1/8.

Therefore the probability that all three numbers are the same

= (1/8) (1/8) = 1/64 [ player will win a prize ]

(=0.03125)