Find the indicated probability. Find the probability that 3 randomly selected people all have the same birthday. Ignore leap years. Round to eight decimal places.
A) 0.0082
B) 0.3333
C) 0.00000002
D) 0.00000751

Question

Quizplus · Accepted Answer

To find the probability that 3 randomly selected people all have the same birthday, we need to break it down into two parts:

1. The probability that the second person has the same birthday as the first person (this is 1/365, assuming we're ignoring leap years).
2. The probability that the third person has the same birthday as the first two people. This will be 1/365 * 1/365, or (1/365)^2.

Multiplying these two probabilities together, we get:

1/365 * (1/365)^2 = 1/365^3

Converting this to decimal form and rounding to eight decimal places, we get:

0.00000751.

Therefore, the best choice is D.

Find the Indicated Probability