Given P(A) = 0.40. P(B) = 0.50 and P(A and B) = .10 find (a) P(AU B).(b) P(A | B), and (c) P(B |A),

Q: Given P(A and B) = 0.22, P(B) = 0.75, P(B|A) = 0.84, what is P(A)?

A: Given information- P(B) = 0.75 P(A∩B) = 0.22 P(B|A) = 0.84 P(B/A) is given by-

Q: Given P(A) = 0.2, P(B) = 0.7, P(A | B) = 0.5, do the following: (a) Compute P(A and B). (b)…

A:

Q: Given P(A) = 0.78, P(B) = 0.45, and P(B|A) = 0.97, what is P(A and B)?

A:

Q: Given P(A and B) = 0.37, P(B) = 0.57, P(B|A) = 0.91, what is P(A)?

A: We have to find given probability.

Q: Given P(A and B) = 0.02, P(B) = 0.88, P(B|A) = 0.68, what is P(A)?

A: P(A and B) = 0.02  P(B) = 0.88  P(B|A) = 0.68  P(A)=?

Q: Given P(A) = 0.03, P(B) = 0.42, P(B|A) = 0.28, what is P(A and B)

A: GivenP(A)=0.03P(B)=0.42P(B|A)=0.28

Q: Given P(A) = 0.06, P(B) = 0.69, P(B|A) = 0.77, what is P(A and B)?

A:

Q: Given P(A and B) = 0.02, P(B) = 0.80, P(B|A) = 0.73, what is P(A)?

A: Conditional probability formula P(B|A) = P(A and B) /P(A)

Q: Given P(A) = 0.78, P(B) = 0.87, and P(B|A) = 0.44, what is P(A and B)?

A: Given :  P(A) = 0.78 P(B) = 0.87 P(B|A) = 0.44

Q: Given P(E or F) = 0.92, P(E) = 0.33, and P(E and F) = 0.07, what is P(F)?

A: Use formula of P(E Or F)

Q: Given P(E or F) = 0.86, P(F) = 0.26, and P(E and F) = 0.02, what is P(E)?

A: Given P(E or F) = 0.86, P(F) = 0.26, and P(E and F) = 0.02, By the addition theorem  P(EorF) =P(E)…

Q: Given P(A) = 0.39, P(B) = 0.95, and P(B|A) = 0.07, what is P(A and B)?

A: Given :  P(A) = 0.39 P(B) = 0.95 P(B|A) = 0.07

Q: Let P(A)=P(A)= 0.282.   Find P(A¯¯¯¯)P(A¯). Do not round your answer.

A: From the provided information, The probability of event A, P (A) = 0.282

Q: #S = (a.b.c) with P(a) = 5P(b) = 7P(c), find P(c).

A: Solution :-

Q: P(A|B) = 0.2, P(A) = 0.5, P(B) = 0.45                    Find P(A U B)

A:

Q: Given P(A) = 0.94, P(B) = 0.98, P(B|A) = 0.52, what is P(A and B)?

A:

Q: If P(A) = 0.35, P(B) = 0.45, and P(A and B) = 0.25, then P(A|B) is:     1.4     1.8     0.714…

A: P(A)=0.35 P(B)=0.45 P(A and B)=0.25   P(A/B)=P(A and B)P(A)=0.250.35=0.714

Q: Given P(A) = 0.01, P(B) = 0.88 , and P(B|A)=0.34 , what is P(A and B)?

A: Given: P(A)=0.01P(B)=0.88P(BA)=0.34 The objective is to find the probability of P(A∩B).

Q: Given P(A and B) = 0.25, P(B) = 0.85, P(B|A) = 0.93, what is P(A)?

A:

Q: Given P(A and B) = 0.10, P(A) = 0.68, what is P(B|A)

A: Given that, P(A and B) = 0.10 P(A) = 0.68

Q: P(A) = 0.25, P(B) = 0.65, P(AU B)= 0.8 Find a) P(A|B)        b) P(B|A)

A: First we need to find P(AnB). P(AnB) = P(A)+P(B)-P(AUB) = 0.25+0.65-0.8 = 0.1

Q: Given P(E) = 0.23, P(F) = 0.34, and P(E and F) = 0.08, what is P(E or F)

A: P(E) = 0.23, P(F) = 0.34, and P(E and F) = 0.08.

Q: P(E)=0.60​, ​P(E or ​F)=0.85​, and​ P(E and ​F)=0.05​, find​ P(F).

A: Given : P(E)=0.60​ ​P(E or ​F)=0.85​ P(E and F)=0.05​

Q: Given P(E or F) = 0.83, P(E) = 0.44, and P(E and F) = 0.18, what is P(F)?

A: P(E or F) = P(E) + P(F) - P(E and F)

Q: Given P(A) = 0.86, P(B) = 0.77, P(B|A) = 0.37, what is P(A and B)?

A: Let A and B are two events. The known probabilities are, Using the conditional probability formula,…

Q: Given P(A) = 0.16, P(B) = 0.88, P(B|A) = 0.25, what is P(A and B)?

A: Given , P(A) = 0.16, P(B) = 0.88, P(B|A) = 0.25

Q: Find P(AUB), if the given are P(A)= 0.4, P(B) = 0.3

A: Given that  P(A) = 0.40 P(B) = 0.30 P(A∩B) is not given , Since events A and B are independent.   We…

Q: Given, P(A) = 0.40, P( A and B) = 0.10 and P(A|B) = 0.30 Find P(B)? Round to 2 decimals

A: Answer: From the given data, P(A) = 0.40 P(A and B) = 0.10 P(A|B) = 0.30

Q: Given P(A)= 0.30, P(B)= 0.60, and P(A and B) = 0.35, calculate P(A or B)

A: Given that,  P(A)= 0.30, P(B)= 0.60, and P(A and B) = 0.35 We know that,  PA or B=PA+PB-PA and B

Q: Given that p(B│A) =.75 and p(A B) =.28, find p(A).

A: GivenP(B|A)=0.75P(A∩B)=0.28

Q: P(A) = 0.2, P(B) = 0.6, P(AUB)= 0.7 Find a) P(A|B)  b) P(B|A)

A:

Q: Given P(A and B) = 0.18, P(B) = 0.78, P(B|A) = 0.82, what is P(A)?

A: Given information- P (B) = 0.78 P (A∩B) = 0.18 P (B|A) = 0.82 P (B/A) is given by-