If A and B are two mutually exclusive events with P(A) = 0.6 and P(B) = 0.2, find the following probabilities: (a) P (A ∩ B) (b) P (A ∪ B) (c) P (A)

Q: When 2 events (A,B) are independent, what is the probability of their union? a.) P(A) + P(B) b.)…

A: Let us consider two events A and B.   Consider A and B are independent events.

Q: Let two events E and F with the following probabilities P(E)=0.25, P(F) = 0.4 and P(E│F)= 0.5. Find…

A: P(E)=0.25, P(F) = 0.4  P(E│F)= 0.5 P(E│F)= P(E∩F)P(F) 0.5 = P(E∩F)0.4 P(E∩F)=0.4×0.5 = 0.2

Q: OP(AnB) OP (Sample Sapce) = 1 OP(A or B) = P (A) + P (B) ○ P(A) = 1 – P (Aº) = P (A) × P (B) if…

A: It is given that the probability rules on all the parts. Here, need to find out the wrong statement.

Q: A and B are independent events. Use the following probabilities to answer the question. Round to 4…

A: Given,

Q: (a) P(A U B) = 0.74 (Simplify your answer.) (b) The odds in favor of A are (Simplify your answer.…

A: It is given that  P(A) = 0.35 P(B) = 0.6 P(A∩B) = P(A and B) = 0.23   Note: According to Bartleby…

Q: (d) What is the probability that each person wins one match? (Hint: There are two different ways for…

A:

Q: A and B are independent events. Use the following probabilities to answer the question. Round to 4…

A: If two events A and B are independent then,

Q: Given P(A) = 0.052, P(B) = 0.045, and P(C) = 0.149, and that events A, B, and C are mutually…

A:

Q: Iftwo events, A and B, are such that P(A) = .5, P(B) = .3, and P(A N B) =.1, find the following: a.…

A:

Q: Find the conditional probability of the given event when two fair dice (one red and one green) are…

A: Given: Number of dice rolled = 2 Red die shows 6 given green die is 6.

Q: Q. 2 Of 200 employees of a company, a total of 120 smoke shisha; 60% of the shisha smokers are male…

A: Using the provided information, the table is:   Smokers Non smokers Total Male 72 64 136…

Q: Consider, If A and B are independent events, P(A)=0.26 and P(B)=.76, Find: 1. P(A N B) 2. Р (A| B)…

A: Given , Consider, If A and B are independent events, Then , P(A) . P(B)  = P  ( A ∩  B ) Also , P (…

Q: The probabilities of events A, B, and AnB are given. Find (a) P(A UB), (b) the odds in favor of and…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: If P(A)=0.3 and P(B)=0.6, find each probability  a) P(A and B) if A and B are independent events…

A:

Q: If a class has 8 freshmen, 5 sophomores, 4 juniors, and 2 seniors, what is the probabilitythat three…

A: Given: 8 freshmen 5 sophomores 4 juniors 2 seniors Total = 8+5+4+2=19

Q: A teacher at Soledad Prison has 22 thugs in his class, including the “extra-mean” thugs Bluto,…

A: We have to use hypergeometric distribution to find the probabilities.

Q: Let P(A)=0.4, P(B)=0.3, if A and B are mutually exclusive，what is the probability that exactly one…

A:

Q: Consider the two events, A and B, for which we have the following probabilities: P(A) = 0.4, P(B) =…

A: P(A)=0.4P(B)=0.2P(A|B)=0.6

Q: Four people are running for class president: Liz, Fred, Sue, and Tom. The probabilities of Fred,…

A: we need to find probability that  a) Liz wins b)Fred or Tom wins c)Tom loses

Q: Suppose that P(A) - 0.3 and P(B) = 0.6. If events A and B are mutually exclusive, find the following…

A: Mutually exclusive events [MEE]:

Q: Let A and B be two events, such that p(A) = 0.8, p(B) = 0.7, and p(AB)=0.5. We can use a Venn…

A: a) To find the conditional probability p(A | B), which is the probability of event A given that…

Q: probability that event A will occur isP(A)=0.56. What is the probability (in decimal form) that…

A:

Q: Show that the probability of the union of (non-mutually exclusive) events A and B can be written as…

A:

Q: Consider, If A and B are independent events, P(A)=0.26 and P(B)=0.76, Find: 1. P(A n B) 2. P(A| B)…

A: Given: P(A)=0.26  P(B)=0.76

Q: First, ve need to test whether the two events are independent. Use X to denote the event described…

A: Given  8% of the population gave up doing laundry. PG=0.08

Q: pendent use the places. P(A) = 0.37, P(A and B) = 0.22, find P(B) P(B) = ing pro LO wer the que:

A: It is given that  P(A) = 0.37 P(A and B) = 0.22

Q: Use the Venn diagram and the given probabilities to find: (a) P(A) = (b) P(AN B) = (c) P(An B) = !!…

A: From provided information, P (1) = 0.05, P (2) = 0.05, P (3) = 0.05,       P (7) = 0.05; P (4) =…

Q: A and B are independent events, and P(A)= 0.7 and P(B)= 0.2. what are the values of the following:…

A: GivenP(A)=0.7P(B)=0.2A and B are independent

Q: When two events are independent, the probability of both occurring is P(A and B) = O P(A) + P(B) O…

A: We have to find correct answer...

Q: A and B are independent events. Use the following probabilities to answer the question. Round to 4…

A: If two events A and B are independent, then P(A and B) = P(A)P(B).

Q: A and B are independent events. Use the following probabilities to answer the question. Round to 4…

A: If A and B are independent events then the probability of both occurring is given by , P(A and B) =…

Q: Four people are running for class​ president: Liz,​ Fred, Sue, and Tom. The probabilities of​ Fred,…

A: Given The probabilities of​ Fred, Sue, and Tom winning are 0.23​, 0.28​, 0.12

Q: Let ?D be the event that a student likes dancing and ?A be the event that a student likes athletics.…

A: P(Dc|A) =0.44 P(D|AC) =0.76 P(AC) =0.65

Q: A and B are independent events. Use the following probabilities to answer the question. Round to 4…

A: Given that A and B are independent events. So, P(A and B)= P(A)P(B)

Q: A and B are independent events. Use the following probabilities to answer the question. Round to 4…

A: It is given that P(A) = 0.58 and P(A and B) = 0.02. Also, it is given that the event A and B are…

Q: red and a blue die are thrown. Both dice are fair. The events A and B are defined as follows: A:…

A: Probability of the dice

Q: Show that the probability that an event A or an event B or both will occur is given by the formula…

A: Probability of an event A = P(A) Probability of occurring event B = P(B) Probability of occurring A…

Q: Suppose we know that the probabilities P(A) = .5, P(B|A) = .3 and P(A or B) =.3. What is the value…

A: Given information- We have given the probabilities- P (A) = .5, P (B|A) = .3 and P (A or B) = .3