If P(A) = 0.4 and P(B) = 0.2, and A and B are mutually exclusive events, which one of the following statements is true? a) P(A and B) = 0 b) P(A or B) = 0.08 c) P(A or B) = 0.2 d) P(A and B) = 0.6

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

A: given data  P(E and F) = 0.3 P(E) = 0.8 P(F|E) = ?

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: Which of the following is NOT necessarily true for mutually exclusive events A and B? P(A B)=0…

A: If A and B are mutually exclusive events, then A∩B=∅. Then, we have P(A∩B)=P(AB)=0. 1.)…

Q: Let A and B be events where P(A)= .3, P(B)= .8, and P(A or B)= .9. Compute P( A and B).

A: The objective of this question is to find the probability of both events A and B occurring, denoted…

Q: 5. A and B are two events such that P(B) = P(An B) =and P(B|A) = Find a) P(A) b) P(A|B) c) P(A|B)

A:

Q: Consider two events, A and B, such that P(A) = 0.6, P(B) = 0.7 and P(A intersection B) = 0.4. What…

A: There are two events A and B, and their probabilities are shown below;.

Q: Supposed P(F) = .25, P(F or G) = .70, and events F and G are mutually exclusive.  Find: a) P(G)…

A: (a)If events F and G are mutually exclusive, then, P (F or G) = P(F)+ P(G).Or, P(G) = P (F or G) –…

Q: 1. Let A and B be independent events such that P(A), P(B) > 0. Is it possible that A and B are…

A:

Q: Suppose A and B are two disjoint events. Further, P(A) = 0.49, and P(B) = 0.51. The P(A|B) = 0.51 0…

A: The objective of the question is to find the conditional probability of event A given that event B…

Q: Suppose that A and B are mutually exclusive events with P(B) = 0.224 and ?(?∪?) P(A∪B)= 0.673.…

A: From the provided information, P (B) = 0.224 and P (A U B) = 0.673 The events A and B are mutually…

Q: If A, B are two events, where P(A)= 0.4, P(B)= 0.55, P(A U B) = 0.85, then P(AN B): %3D a. 0.1 O b.…

A:

Q: For two events, A and B, P(A) = .5, P(B)= .4, and P(ANB) = .2. a. Find P(A|B). b. Find P(B|A). c.…

A: It is given that P(A)=0.5, P(B)=0.4 and P(A∩B)=0.2.

Q: If A and B are independent events, which of the statements below are true? OP(AIB)-0 O P(AIB)-…

A: From the given information we find the probability.

Q: When two events A and B are not mutually exclusive, the probability that A or B occur is P(A or B) =…

A: Solution: From the given information, two events A and B are not mutually exclusive.

Q: Assume A and B are independent events, P(A)= 0.1, P(B)=0.3. Then P (AUB): 0.43 O Option 3 0.4

A:

Q: If A and B are mutually exclusive events then O a. 1- P(AN B) = P(A) + P(B) %3D | O b. P(AU B) =…

A: Mutually exclusive events: Two events A and B are said to be mutually exclusion if there are no…

Q: Suppose that E and F are two events and that P(E and F) = 0.1 and P(E)= 0.4. What is P(FIE)?

A: Solution-: Given: P(E and F)=0.1, P(E)=0.4 We want to find P(F|E)=?

Q: Given P(A c ) = 0.6, P(B) = 0.7 and P(B|A) = 0.35, a). Can events A and B be mutually exclusive?…

A: Given: PAc=0.6, PB=0.7 and PB|A=0.35.   Then, using the definition of complement,PA=1-PAc=1-0.6=0.4

Q: If P(A) = 0.6 and P(B) = 0.5, then A and B can be disjoint events. true or false?

A:

Q: If P(A) = 0.4, P(B) = 0.2, and P(AU B) = 0.6, then P(AN B) = (a) Are events A and B independent?…

A:

Q: which of the following defines the concept of events A and B being mutually exclusive? A. the events…

A: Two events are said to be mutually exclusive if they cannot occur at the same time. Here, A and B…

Q: Question: If two events, A and B, are independent, which of the following statements is true? A:…

A: Given;We have two events A and B. both events A and B are indepedent.

Q: Let A and B are two events, not mutually exclusive. Suppose that P(A) =0.40, P(B)=0.32 and P(A or…

A:

Q: Let A and B two events with P(A) =0.25 and P(B) =0.45 and P(A n B) = 0.1 then P(Ā N B) = 0.35. O…

A: The given probabilities are PA=0.25,PB=0.45,PA∩B=0.1. Now, PA¯∩B=PB-PA∩B=0.45-0.10=0.35=True Thus,…

Q: A and Bare independent events. P(A) = 0.50 and P(B) = 0.20. %3D What is P(A and B)? O A. 0 B. 0.10…

A: We have given that,  A and B are two independent events with P(A)=0.50 and P(B)=0.20 Then,  We will…

Q: Suppose two events, A and B, are defined where P(A)=P(B)=.4 and P(AorB)=.65. What is P(AandB)

A: Given : P(A)=P(B)=.4 and P(AorB)=.65

Q: Complete the following table and use it calculate the probabilities given below. A AC Total a. P(A…

A: Since you have posted a question with multiple sub-parts, we will solve first 3 sub-parts for you.…

Q: If P(E)=0.4, P(G)%30.8, and P(E| G)%30.4, then (a) P(G and E)= (b) Are events E and G dependent?…

A: Probability: Probability is a chance factor that occurs at every outcome of a random experiment.…

Q: Suppose E and F are two possible events that are independent of one another. Would it be true that…

A: GIVEN DATA : E and F events are independent of one another.     TO SHOW : The complements of E &…

Q: A and B are independent events. P(A) = 0.50 and P(B) = 0.30. What is P(A and B)? O A. 0.015 B. 0.15…

A: Given

Q: Suppose that A and B are two events for which P(A)=0.17, P(B)=0.71, and P(B|A)=0.39 Find each of the…

A:

Q: Let  A and B be events with  P(A)=, 0.2 P(B)=, 0.9 and P(B|A)=0.5   Find  P(A and B)=

A: From the given information,P(A) = 0.2,P(B) = 0.9And P(B|A) = 0.5.

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: Suppose that A and B are two independent events for which P(A)=0.32 and P(B)=0.7. Find each of the…

A:

Q: Let A and B be mutually exclusively  events with P(A)=0.24 and P(B)=0.34

A: If A and B are mutually exclusive events then, P(A ∩ B) = 0 Now we know that P(A U B) = P(A) + P(B)…

Q: If P(A) = 0.2, P(B) = 0.3, and P(AU B) = 0.5, then P(AN B) = (a) Are events A and B independent?…

A: The probability rule of addition gives us PA∪B = PA+PB-PA∩B

Q: Suppose that E and F are two events and that P(E)=0.8 and P(F|E)=0.5. What is P(E and F)​?

A: Given data,  P(E)=0.8  P(F|E)=0.5 P(E and F)​=?

Q: t A and B be two disjoint events such that P(A)=.18 and P(B)=.42 what is P(A or B)

A: given data , disjoint events, p(A)=0.18p(B)=0.42p(A or B)=?

Q: Suppose two events E and F are independent.  Which of the following is true?   (1 answer) A. P(E and…

A: Given that two events E and F are independent.