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?

Use the theoretical definition of probability

1. The number of all possible outcomes is , because the first number can be selected from 8 numbers from the set {0, 1, 2, 3, 4, 5 ,6 ,7}, the second number can be selected from all 8 numbers from this set and the third number can be also selected from all  8 numbers from this set.

2. The number of favorable outcomes is 8. All favorable outcomes are:

3. The probability that the player will win a prize is

a negative exponent is translated as follows:

so, we have

a variable is any characteristics, number, or quantity that can be measured or counted. a variable may also be called a data item. hope i !