If P(A) = 0.8,P(B)=0.5 and P(BIA) = 0.4, find (i) P(ANB) (ii) P(A|B)

Q: Given P(E) = 0.34, P(F) = 0.36, and P(E and F) = 0.17, what is P(E or F)?

A: Solution: From the given information,

Q: Given P(E or F) = 0.60, P(F) = 0.43, and P(E and F) = 0.11, what is P(E)?

A: Given  P(E or F) = 0.60, P(F) = 0.43, and P(E and F) = 0.11, P(E)= ?

Q: Given P(E or F) = 0.82, P(F) = 0.25, and P(E and F) = 0.14, what is P(E)?

A:

Q: If S = {a, b, c} with P(a) = 4P(b) = 3P(c), find P(a).

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Q: Find Z(D4).

A:

Q: Given, P(A or B) = 0.80, P(B') = 0.33 and P(A and B) = 0.20 Find P(A' and B)?

A: Solution-: P(A or B)=0.80, P(B')=0.33 and P(A and B)=0.20 We wan to find P(A' and B)=?

Q: P(A)=0.39P(A)=0.39, P(B)=0.36P(B)=0.36 and P(AandB)=0.25P(AandB)=0.25.P(B∣notA)=

A: It is given that, P(A)=0.39, P(B)=0.36 and P(A and B)=0.25.Let AC be the complement od the event A.…

Q: Given P(E or F) = 0.12, P(E) = 0.22, and P(F) = 0.18, what is P(E and F)?

A:

Q: If S = {a, b, c} with P(a) = 8P(b) = 2P(c), find P(a).

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

A:

Q: Consider the following scenario:  Let P(C) = 0.35 Let P(D) = 0.55 Let P(C|D)= 0.2   Find P(D|C)

A: Reviewing the information, Given, P(C)=0.35P(D)=0.55P(C|D)=0.2

Q: Given P(A) = 0.20, P(B) = 0.25, and P(B|A) = 0.25, are A and B independent or dependent?

A: PA=0.20, PB=0.25 and PB|A=0.25

Q: Given P(E)=0.49, P(F)=0.34,and P(E and F)=0.15, what is P(E or F)?

A: GivenP(E)=0.49P(F)=0.34P(E∩F)=0.15

Q: Given P(E) = 0.21, P(F) = 0.13, and P(E and F) = 0.10, what is P(E or F)?

A: I have appended the formula used in the solution procedure

Q: Given P(E) = 0.26, P(F) = 0.48, and P(E and F) = 0.11, what is P(E or F)?

A:

Q: If S = {a, b, c} with P(a) = 8P(b) = 5P(c), find P(a).

A: Total probability:If a sample space contains mutually exclusive and exhaustive events, then the sum…

Q: Given P(E or F) = 0.04, P(E) = 0.35, and P(F) = 0.26, what is P(E and F)?

A: Given Information P(E or F) = 0.04 P(E) = 0.35 P(F) = 0.26 P(E and F)

Q: Given P(A) = 0.22, P(B) = 0.24, and P(B|A) = 0.21, are A and B independent or dependent?

A: We know,  P(B/A) = P(A∩B)/P(A)     P(A∩B) = P(A) P(B) Events A and B are independent if the equation…

Q: iven P(A) = 0.25, P(B) = 0.28, and P(B|A) = 0.28, are A and B independent or dependent?

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Q: Given P(A) = 0.21, P(B) = 0.24, and P(B|A) = 0.24, are A and B independent or dependent?

A:

Q: Given P(E or F) =0.65 , P(E) = 0.42 and P(EandF) = 0.02 , what is P(F) ?

A: We have given that P(E or F) = 0.65 P(E) = 0.42 P(E and F) = 0.02 We have to find P(F) ?

Q: Given P(E) = 0.14, P(F) = 0.16, and P(E and F) = 0.16, what is P(E or F)?

A: Concept of General Addition Rule: For any two events E and F the General Addition Rule states that:

Q: Given that P(A) = 0.3, P(B) = 0.2, and P(A and B) = 0.05, Find P(BIA) 0.5 0.667 0.45 0.25 1 0.167

A: GivenP(A) = 0.3,  P(B)= 0.2 ,P(A and B) = P()= 0.05, thenP(B|A) = =0.167

Q: P(A)=0.68P(A)=0.68, P(B)=0.22P(B)=0.22 and P(AandB)=0.10P(AandB)=0.10. P(notB∣notA)=

A: