19
QuizMultiple Choice

Probability with Combinations and Permutations — Quiz

Question 19 • Concepts in Probability and Statistics

A three-digit personal identification number is chosen using the digits 1 - 9 The digits cannot be repeated. What is the approximate probability that the first digit will be 6 ?

Answer
A
0 point 0 0 5 9 5
B
0 point 6 6 6 6 7
C
0 point 1 1 1 1 1
D
0 point 0 3 5 7 1

Explanation

There are 9 possible digits for the first position, and each is equally likely to be chosen. The restriction against repeating digits affects the later positions, not the probability of the first digit being 6. So the probability is 1/9, which is approximately 0.11111, choice D.

AI-written and checked against the verified answer.

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