a) A family has five children. If the probability of birth of either sex is assu

Question

a) A family has five children. If the probability of birth of either sex is assumed equally likely, what is the probability that exactly four of the children are boys?

b) Suppose that a die is made by marking the faces of regular dodecahedron with the numbers 1 through 12. What is the proabablity that one exactly three of six tosses, a number less than 4 turns up?

c) Assume that the probablity that a married couple will get a divorce within the next 10 years is 1/5. Given eight randomly selected couples, find the proabability that all eight will have the same partners after 10 years.

d) An urn contain three red balls and two white balls. A ball is drawn, then replaced. Find the probability that a white ball will be drawn four times in a row.

Please show work, I am a visual learner and need to follow how you did this for test.

Explanation / Answer

a)5(1/2)5
=5/32

b)(1/4)3(3/4)3 6c3
=540/46
=0.1318

c)
(1/5)8

d)
(2/5)4

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