Question

A locker combination has three nonzero digits, and digits cannot be repeated. The first two digits are 9 and 8. What is the probability that the third digit is 7?

Answer 1

The probability that the third digit of a locker combination is 7, with the first two digits being 9 and 8 and no repetition allowed, is 1/7.

Step-by-step explanation:

The student is asking about the probability that the third digit of a locker combination is 7, given that the first two digits are 9 and 8 and the digits cannot be repeated. In a combination with three nonzero digits where no digits are repeated, and the first two digits are already chosen as 9 and 8, there are seven remaining choices for the third digit (1, 2, 3, 4, 5, 6, or 7). Therefore, the probability that the third digit is 7 is 1 out of 7, or 1/7.