When an experiment is conducted, one and only one of three mutually exclusive events S₁, S₂, and S₂ can occur, with P(S₂) = 0.4, P(S₂) = 0.5, and P(S3) = 0.1. The probabilities that a fourth event A occurs, given that event S₁, S₂, or S, has occurred, are P(A|S₂) = 0.4 P(A|S₂) = 0.2 P(A/S) = 0.1. If event A is observed, find P(S₂1A). (Round your answer to four decimal places.) P(S₂|A) =

Q: are events A and B independent?

A: For the events to be independent, we must have P(A and B) = P(A).P(B)

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: If E and F are two disjoint events with P(E) = 0.26 and P(F) = 0.47, what is P(E ∪ F)? (Enter answer…

A: Given,P(E) = 0.26 and P(F) = 0.47Using formula, ;for A and B are two disjoint events.

Q: If A and B are independent events, P(A)=0.25, and P(B)=0.79, what is P(B|A)?

A:

Q: Given P(A) = 0.150, P(B) = 0.172, and P(C) = 0.185, and that events A, B, and C are mutually…

A: here given, P(A)=0.150, P(B)=0.172 P(C)=0.185   A,B and C are mutually exclusive event. so, P(A and…

Q: If A and B are independent events with P(A) = 0.5 and P(A ∩ B) = 0.12, then, P(B) = Question 27…

A:

Q: If A and B are any two events with P(A) = 0.9 and P(B|A) = 0.5, then the probability of A and B is?

A:

Q: Given P(A and B) = 0.17, P(A) = 0.21, and P(B) = 0.81 are events A and B independent or dependent?…

A: Two events A and B are called independent if  P(A and B)= P(A)*P(B)

Q: Suppose that A, B are two independent events, with P(A) = .1 and P(B) = .2. Find P(A|B).

A:

Q: Suppose A and B are independent events with P(A)= 0.4 and P(B) = 0.3. Find the following…

A: Given data A and B are independent events P(A) = 0.4 P(B) = 0.3 P(A and B) = P(A) x P(B) = 0.4 x…

Q: Suppose that A,B, & C are three independent events such that Pr(A)=1/4, Pr(B)=1/3, and Pr(C)=1/2. A.…

A:

Q: The probability of two outcomes co-occurring is the product of the probabilities of each outcome…

A: The sum of all probabilities is  0.0278 + 0.1389+0.1389 +0.6943 = 0.9999

Q: If P(A) = 3/4 and P(A and B) = 1/2, where A and B are dependent events, then P(B|A) equals?

A: Solution: From the given information, P(A) = ¾ and P(A and B)=1/2.

Q: Given P(A and B) = 0.43, P(A) = 0.81, and P(B) = 0.25 are events A and B independent or dependent?…

A:

Q: If A and B are independent events, P(A)=0.18, and P(B)=0.79, what is P(B|A)

A: Given that; P(A) = 0.18 P(B) = 0.79 If A and B are independent events,

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: For customers purchasing a refrigerator at a certain appliance store, let A be the event that the…

A: If PB|A>PB then it can be written that  -PB|A<-PB1-PB|A<1-PBPB'|A<PB' In the third step…

Q: If A and B are independent events, P(A)=0.11, and P(B)=0.74, what is P(B|A)?

A: The given probabilities are PA=0.11,PB=0.74. The events A and B are independent.

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: Suppose that A and B are two independent events for which P(A)=0.34 and P(B)=0.57. Find each of the…

A: Probability quantifies the chances of happening an event. The probability values always lie in the…

Q: If A and B are independant events with P(A) = 0.295, P(B) = 0.32, then P(A | B) =

A: It is given that A and B are independent. P(A) = 0.295, P(B) = 0.32

Q: Given two events G and H, the probabilities of each occurring are as follows: P(G) = 0.35; P(H) =…

A: GivenP(G)=0.35P(H)=0.9P(H and G) = 0.1

Q: Suppose that A and B are two independent events for which P(A)=0.23 and P(B)=0.65. Find each of the…

A: