Use the special multiplication rule to find the indicated probability.
-Find the probability that 3 randomly selected people have the same birthday. Ignore leap years.
A)0.00000751
B)0.0082
C)0.3333
D)0.00000002

Question

Use the special multiplication rule to find the indicated probability.
-Find the probability that 3 randomly selected people have the same birthday. Ignore leap years. 
A)0.00000751
B)0.0082
C)0.3333
D)0.00000002

Quizplus · Accepted Answer

The probability that 3 randomly selected people have the same birthday, ignoring leap years, is calculated using the special multiplication rule. For the first person, any birthday is possible, so the probability is 1. For the second person to have the same birthday, the probability is 1/365 (since there are 365 days in a year, ignoring leap years). For the third person to also have the same birthday, the probability again is 1/365. Multiplying these probabilities gives: 1 * (1/365) * (1/365) = 1/133,225, which is approximately 0.00000751.

Use the Special Multiplication Rule to Find the Indicated Probability