Question

What is the probability that 4 randomly selected people all have different birthdays? Ignore leap years, and round your final answer to four decimal places.

0.9729



0.9918



0.9891



0.9836

Answer 1

(D)0.9836

Explanation:

There are 365 days in a year.

Since each person has a different birthday:

• We can choose a birthday for the first person 365 out of 365 days.
• We can choose a birthday for the second person 364 out of 365 days.
• We can choose a birthday for the third person 363 out of 365 days.
• We can choose a birthday for the fourth person 362 out of 365 days.

Therefore,

P(4 randomly selected people all have different birthdays)

`=(365)/(365) * (364)/(365) * (363)/(365) * (362)/(365)\\\\=0.9836`