Q2(11). One builder bids on two construction projects. They believe that the probability of winning the first contract (event A) is 0.8, that the probability of winning the second contract (event B) is 0.6, and the probability of winning both contracts is 0.5. 1(2). Are two events A, B disjoint? Why? 2(2). Are two events A, B independent? Why? 3(3). Find the probability of winning at least one of the contracts. 4(2). Find the probability of winning neither contracts. 5(2). Find the probability of winning exact one contract.

Q: For two events A and B, P(A) = 0.55, P(B) = 0.40, and P(A & B) = 0.22. Are A and B independent?

A: Given that  P(A) = 0.55, P(B) = 0.40, and P(A & B) = 0.22

Q: Mary and Susan are each to play a tennis match. Let the probability that Mary wins her match be 0.65…

A:

Q: Three friends (A, B, and C) will participate in a round-robin tournament in which each one plays…

A: Since you have posted multiple sub-parts, we will solve the first three sub-parts for you. To get…

Q: If the P(A) = 0.43, P( A or B) = 0.87, given that events A and B are mutually exclusive events then…

A: Given, P(A) = 0.43 P( A or B) = 0.87 Since events, A and B are mutually exclusive events P(A and B)…

Q: Find P(A or B or C) for the given probabilities. P(A) = 0.36, P(B) = 0.24, P(C) = 0.16 P(A and…

A: P(A)=0.36P(B)=0.24P(C)=0.16P(A and B)=0.11P(A and C)=0.03P(B and C)=0.07P(A and B and C)=0.01

Q: P(A) =0.3 and P(A or B) =0.7, then what is P(B)  if events A and B are independent events?

A:

Q: Given P(A) = 0.67, P(B) = 0.70, and the fact that events A and B are independent, What is P(A and…

A: GivenP(A)=0.67P(B)=0.70The events A and B are independent

Q: Suppose that E and F are two events and that P(E) = 0.5 and P(F|E) = 0.2. What is P(E and F)? P(E…

A: GivenP(E)=0.5P(F|E)=0.2

Q: A and B are two independent events. The probability that both occur simultaneously is 1/6 and the…

A:

Q: 4. P(A|B) 5. Use P(A|B) = P(A) and P(A and B) - P(A)*P(B) to determine if the two events are…

A: Given:

Q: On a December day, the probability of snow is .30. The probability of a "cold" day is .50. The…

A: Given  On a December day, the probability of snow is .30. The probability of a "cold" day is .50.…

Q: Given P(A) = 0.35, P(B) = 0.08, and P(A or B) = 0.43, are events A and B mutually exclusive?

A: Given: P(A) = 0.35 P(B) = 0.08 and P(A or B) = 0.43

Q: Suppose that E and F are two events and that P(E)= 0.8 and P(F|E) = 0.3. What is P(E and F)? .....…

A:

Q: Given P(A) = 0.86, P(B) = 0.08, and the fact that events A and B are independent, What is P(A and…

A:

Q: A marksman scores a bull's eye on 90% of his shots. (Assume the shots are independent.) (a) What is…

A: Solution : P = Probability of scoring a bull's eye in a  shots. = 90% = 0.90 All shots are…

Q: When a customer enters a drugstore, the probabilities that he or she will have 0, 1, 2, or 3…

A: 1. Given: The probability of persons having 0 prescription is 0.55, 1 prescription is 0.30, 2…

Q: For two events A and B , P(A)=0.7 , P(B)=0.4 , and P(A∩B)=0.28. Determine whether or not A and B are…

A: Given that  P(A)=0.7 , P(B)=0.4 , and P(A∩B)=0.28

Q: Find​ P(A or B or​ C) for the given probabilities.   P(A)=0.39, P(B)=0.24, P(C)=0.18 P(A and…

A:

Q: Given P(A) = 0.32, P(B) = 0.44, and the fact that events A and B are independent, What is P(A and…

A: Solution: From the given information, P (A) = 0.32, P (B) = 0.44.

Q: Aand Bare shooting baskets, with probabilities of making a shot at 0.6 and 0.7 respectively. Each of…

A: people, A and B are shooting baskets.The probability of A making a shot, The probability of B making…

Q: lichael wants to take French or Spanish, or both. But classes are closed, and he must apply and get…

A: Formula : P(A or B) = P(A) + P(B) - P(A and B)

Q: Juan's super burger business has a new burger known as the hamburuesadelux. The probability that a…

A: Given: The probability that a new client will like the deluxe burger is 0.8. 5 new customers come to…

Q: Given P(A)=0.31, P(B)=0.49 and P(A or B)=0.78, are events A and B mutually exclusive

A: According to the given information, we have P(A) = 0.31 P(B) = 0.49 P(A or B) = 0.78

Q: If P(A|B) = 0.5 and P(B) = 0.5, then the events A and B are independent. ture or fals

A: Given :  P(A|B) = 0.5 P (B) = 0.5 A and B are independent events. Then,

Q: Alice has come to the Carnival and is playing the dart game one time. She gets three tosses. The…

A: Since you have posted multiple sub-parts, we will solve the first three sub-parts for you. To get…

Q: If A and B are independent events with P(A)=0.9 and P(B)=0.8, find P(A AND B).

A: It is given that , A and B are the two independent events & their probabilities is P(A) = 0.9…

Q: U and V are mutually exclusive events. P(U) = 0.33; P(V) = 0.5. Find:  a.  P(U and V) =  b.…

A: Therefore,

Q: Find P(A or B or C) for the given probabilities. P(A) = 0.33, P(B) = 0.24, P(C)= 0.19 P(A and B) =…

A:

Q: Let's say (B₁, B₂, B3, B4, B5) is a collection of events that are mutually exclusive events. If…

A: Two events are said to be mutually exclusive if both of them cannot occur at the same time. Two…

Q: U and V are mutually exclusive events. P(U) = 0.16; P(V) = 0.59. Find: a. P(U and V) = b. P(U|V) =…

A: Two events U and V are given.

Q: U and Vare mutually exclusive events. P(U) = 0.21; P(V) = 0.6. Find: a. P(U and V) = b. P(UIV) = c.…

A: According to the given information, We know that, U and V are mutually exclusive events. P(U)=0.21…

Q: The probability that a corporation will establish a warehouse in Sta. Rosa, Laguna is 0.7, the…

A: (a)   Obtain the probability that the industry will locate in both the cities.   The probability…

Q: For this problem, assume that 11 % withdraw, 14 % receive an A, 18 % receive a B, 35 % receive a C,…

A: