Assume you have two boxes An and B. Box A contains 7 dark marbles, 4 white marbles. Box B contains 7 white and 4 dark marbles. An arbitrary examination is acted in two consecutive preliminaries by first drawing a marble haphazardly from confine An and putting to Box B. In the second preliminary after the principal preliminary, a marble is drawn haphazardly from box B.

Answer the accompanying inquiries.

What is the likelihood of drawing a dark marble from box B toward the finish of second preliminary? [2]

Distinguish every one of the fundamentally unrelated occasions present in the given situation and check that they

are fundamentally unrelated.

Assume that an infection is acquired through a prevailing method of inheritanceand that just one of the two guardians is influenced with the illness. The ramifications of this method of legacy are that the likelihood is 1 out of 2 that any particularoffspring will get the disease.(a)What is the likelihood that in a family with two children,both kin are affected?(b)What is the likelihood that precisely one kin is affected?(c)What is the likelihood that neither kin isaffected?(d)Suppose the more seasoned youngster is influenced. What is theprobability that the more youthful kid is affected?(e)If A, B are two occasions with the end goal that A = {older youngster isaffected}, B = {younger kid is affected}, at that point are the eventsA, B free?

Assume in a class there are 170 understudies. Of those 170 understudies, 90 are guys and 80 are females. Among 90 male understudies, 55 like playing the sport of football and 35 don't care for it. Among 80 female understudies, 10 like playing the sport of football and 70 don't care for it.

(1)

a) Represent this data as a cross arrangement or likelihood possibility table.

b) Show likelihood tree outlines for every one of the conceivable irregular occasions that can happen (with their probabilities) if an understudy is picked arbitrarily in this class.

Assume in a class there are 170 understudies. Of those 170 understudies, 90 are guys and 80 are females. Among 90 male understudies, 55 like playing the sport of football and 35 don't care for it. Among 80 female understudies, 10 like playing the sport of football and 70 don't care for it.

Address this data as a cross arrangement or likelihood possibility table.

Show likelihood tree charts for every one of the conceivable irregular occasions that can happen (with their probabilities) if an understudy is picked haphazardly.