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Question # 2: Find the probability distribution of the number of boys in families with three children, assuming equal probabilities for boys and girls.

User Hushme
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1 Answer

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Answer: P(3 boys)=1/8

P(1 boy)=3/8

P(2 boys)=3/8

P(0 boys)=1/8

Explanation:

Lets use letter B-for the boys and letter G for the girls

Lets use for any situation description 3 simbols.

For example GBG - mens 1st kid is girl, second is boy and the third one is girl again

We have only 1 set of 3 BOYS : B-B-B -TOTAL 1 set

The sets of 2 BOYS are looking as follows: B-B-G, B-G-B, G-B-B - TOTAL 3 sets

The sets of 1 BOY are looking as follows: B-G-G, G-B-G, G-G-B - TOTAL 3 sets

Finally we have only 1 set of 0 BOYS : G-G-G -TOTAL 1 set

Total amount of sets is 8.

So probability of 3 boysamong 3 kids is P(3 BOYS)=1/8

probability of 2 boys among 3 kids is P(2 BOY)=3/8

probability of 1 boy among 3 kids is P(1 BOY)=3/8

probability of 0 boy among 3 kids is P(1 BOY)=1/8

User Nephi
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