Given that P(A and B) = 0.20 and P(A|B) = 0.40, what must the P(B) = ?

Q: Suppose P(A) = 0.57, P(B) = 0.20, and P(AM B)= 0.05. What is P(A| BC?

A: A and B with probabilities P(A)= 0.57 and P(B)= 0.20 P(A ⋂ B)= 0.05To find the probabilit P(A|Bc)

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(B) = 0.47, P(A and B) = 0.10, P(A or B) = 0.51, what is P(A)?

A: From the given information, the probability that occurring event B is 0.47, probability that…

Q: Given P(A) = 0.26, P(B) = 0.27, and P(B|A) = 0.27, are A and B independent or dependent?

A: Solution: Independent events: Two events A and B are said to be independent if the happening of one…

Q: Given P(E or F) = 0.72, P(F) = 0.43, and P(E and F) = 0.09, what is P(E)?

A: Given P(E or F) = 0.72, P(F) = 0.43, and P(E and F) = 0.09

Q: what is P(A)?

A: P(B) = 0.31, P(A and B) = 0.20, P(A or B) = 0.53

Q: Given P(E or F) = 0.71, P(F) = 0.12, and P(E and F) = 0.18, what is P(E)?

A: The given problem is to find the value of P(E) with the given P(E or F)=0.71, P(F)=0.12, P(E and…

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: Given P(A) = 0.35, P(B) = 0.31, P(A or B) = 0.26, what is P(A and B)?

A: P(A) = 0.35, P(B) = 0.31 and P(A or B) = 0.26

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(E or F) = 0.72, P(E) = 0.48, and P(E and F) = 0.17, what is P(F)?

A:

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(E or F) = 0.78, P(E) = 0.10, and P(E and F) = 0.18, what is P(F)?

A: Given that P(E or F) = 0.78, P(E) = 0.10, and P(E and F)=0.18

Q: Given P(A) = 0.30, P(B) = 0.27, P(A or B) = 0.17, what is P(A and B)?

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  Let P(C) = 0.2, Let P(D) = 0.3, Let P(C | D) = 0.4  how do you find P(D | C)

A:

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: 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: 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(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)

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.