This is all the info I have, but I only need number 5 answered. The other ones h

Question

This is all the info I have, but I only need number 5 answered. The other ones have already been solved.

1.You and your spouse have no children. You stand to inherit a sizeable fortune from your crazy Uncle Irving if you canproduce three daughters in your family of three children. What is the probability of doing just that?

2.If you could convince Uncle Irving that simply having three children all of the same sex would do, then what would bethe probability of your receiving the inheritance?

3.In quest of the family stipulated in #2 above, you produce a boy as your first child. Now what is the probability ofinheriting the fortune?

4.Why are the answers to #2 and #3 the same?

5.Finally, you have convinced Uncle Irving that you will agree to try for at leastthree girls out of four children. Howlikely are you to become wealthy given those conditions?

Explanation / Answer

The probability is 5/16.

Probability of getting all four girls is 1/16

Probability of getting three girls is 4/16. ( There are four possibility GGGB, GGBG, GBGG, BGGG). So chances of getting 3 girls 1 boy is 4/16.

So, total probability would be 4/16+1/16 = 5/16.

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