In a family of five, what is the probability that no two people are bor

actever6a

actever6a

Answered question

2021-11-12

In a family of five, what is the probability that no two people are born the same month? Explain how you have computed the probability.

Answer & Explanation

Jeffrey Parrish

Jeffrey Parrish

Beginner2021-11-13Added 15 answers

Step 1
According to the provided information, in a family of there are 5 people. There are 12 month in a year.
The probability that both people are born in a single month is:
112×112=1144
Since there are 12 month in a year.
So, 12×(112×112)=12144
Therefore, the probability that both people are born in a single month is 12144.
Step 2
Now, the probability that no two people are born the same month can be calculated as:
P(no born in the same month)=1P(born in the same month)
=112144
=132144
=0.917
Therefore, the probability that no two people are born the same month is 0.917.

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