Use the general multiplication rule to find the indicated probability.
-What is the probability that 4 randomly selected people all have different birthdays?
A)0.9918
B)0.9836
C)0.9729
D)0.9891

Question

Use the general multiplication rule to find the indicated probability.
-What is the probability that 4 randomly selected people all have different birthdays? 
A)0.9918
B)0.9836
C)0.9729
D)0.9891

Quizplus · Accepted Answer

The probability that 4 randomly selected people all have different birthdays can be calculated using the general multiplication rule. Assuming each year has 365 days and ignoring leap years, the probability that the first person has a unique birthday is 365/365 (or 1, since any day is possible). For the second person to have a different birthday than the first, the probability is 364/365, because one day is already taken. For the third person, it's 363/365, and for the fourth person, it's 362/365. Multiplying these probabilities gives the overall probability: (365/365) * (364/365) * (363/365) * (362/365) = 0.9836.

Use the General Multiplication Rule to Find the Indicated Probability