To the right are the outcomes that are possible when a couple has three children

Question

To the right are the outcomes that are possible when a couple has three children. Refer to that list, and find the probability of each event. a. Among three children, there are exactly 3 girls . b. Among three children, there are exactly 0 girls . c. Among three children, there are exactly 2 girls 1st 2nd 3rd boy minus boy minus boy boy minus boy minus girl boy minus girl minus boy boy minus girl minus girl girl minus boy minus boy girl minus boy minus girl girl minus girl minus boy girl minus girl minus girl

Explanation / Answer

given list is

boy-boy-boy

boy-boy-girl

boy-girl-boy

boy-girl-girl

girl-boy-boy

girl-boy-girl

girl-girl-boy

girl-girl-girl

total no of cases = 2*2*2 = 8

a)

no of cases in which all three children are girls = 1 i.e (girl-girl-girl)

Probabity that among three children, there are exactly 3 girls = 1/8

b)

no of cases in which among three children, there are exactly 0 girls = 1 i.e (boy-boy-boy)

Probabity that among three children, there are exactly 0 girls = 1/8

c)

no of cases in which among three children, there are exactly 2 girls = 3 i.e(boy-girl-girl, girl-boy-girl, girl-girl-boy)

Probabity that among three children, there are exactly 2 girls = 3/8

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