1. Two businessmen agree to meet for lunch between 12 and 1. They are not surethey will be able to make it, so they both agree that the first person to arrive willwait for 15 minutes to see if the other person shows up. After 15 minutes, the firstperson to arrive will leave if the other person is not there. What is the probabilitythat the two businessmen will have lunch together? 2.A coin is weighted so that heads (H) is twice as likely to appear as tails(T). FindP(T) and P(H) 3.Suppose A and B are events such that P(A) = 0.6, P(B) = 0.3, and P(A∩B) = 0.2.Find the probability that(a) A does not occur(b) A or B occurs(c) neither A nor B occurs 4.Suppose p(A) = p. The odds that A occurs is a to b. Write a formula for p Please be as detailed as possible even with the fractions. Thank you!

Question

1. Two businessmen agree to meet for lunch between 12 and 1. They are not sure
they will be able to make it, so they both agree that the first person to arrive will
wait for 15 minutes to see if the other person shows up. After 15 minutes, the first
person to arrive will leave if the other person is not there. What is the probability
that the two businessmen will have lunch together?

2.A coin is weighted so that heads (H) is twice as likely to appear as tails(T). Find
P(T) and P(H)

3.Suppose A and B are events such that P(A) = 0.6, P(B) = 0.3, and P(A∩B) = 0.2.
Find the probability that
(a) A does not occur
(b) A or B occurs
(c) neither A nor B occurs

4.Suppose p(A) = p. The odds that A occurs is a to b. Write a formula for p

Please be as detailed as possible even with the fractions. Thank you! 

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