PRC-2 · Chapter 11 · Question 31 of 60
A digital vault uses a 5-digit PIN code. The code can begin with any number except 0, 1, 2, and 3. If repetition of digits is strictly allowed, what is the exact probability that a randomly generated PIN begins with an 8 and ends with a 4?
Test yourself: pick an answer
Reveal answer & explanation
Correct answer: C) 1/60
Explanation
The first digit has 6 valid options (4 through 9), so the probability of starting with an 8 is 1/6. The last digit has 10 valid options (0-9), so the probability of ending with a 4 is 1/10. Multiplying the independent probabilities: 1/6 * 1/10 = 1/60.
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