Score: 0 of 1 pt 17of 17 (15complete) HW Score: 86.27 96, 14.67 of 1 7 pts 4.1.3

Question

Score: 0 of 1 pt 17of 17 (15complete) HW Score: 86.27 96, 14.67 of 1 7 pts 4.1.33 Queston Help * To the right ane the cutcomes thar are possible when a couple has three children Assume hat boys and gits are equaly lkely, so that the eight simple events are equaly ikely Find the probability that when a couple has three chldren, there are exacty 0 boys st 2nd 3rd boy - boy -boy boy - bay-gi boy-girt - bay in-bay -boy i -bay-g i-gi -boy What is the probability of exactly O boys out of three children? (Type an integer or a smplified fracton.)

Explanation / Answer

Ans:

Total possible outcomes=2^3=8

Let x be the number of boys in the sample.

x has binomial distribution with n=3,p=0.5

P(x=0)=3C0*0.50*0.53=0.53=0.125

or

directly see the sample space,we have only one outcome with 0 boys i.e 3 girls.

So,probability of 0 boy out of 3 children=1/8=0.125

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