Find the indicated probability.
-What is the probability that 4 randomly selected people all have different birthdays? Round to four decimal places.
A) 0.9891
B) 0.9918
C) 0.9836
D) 0.9729

Question

Quizplus · Accepted Answer

There are 365 possible birthdays in a year. The probability that the second person has a different birthday than the first is 364/365. The probability that the third person has a different birthday than the first two is 363/365. The probability that the fourth person has a different birthday than the first three is 362/365. Therefore, the probability that all four have different birthdays is (364/365) * (363/365) * (362/365) = 0.9836, rounded to four decimal places.

Find the Indicated Probability