5. Let A and B be two events such that P(A) = 1/7, P(AUB) = 1/2, and P(AB) = 1/12. Determine P(B). (Hint: Use additive rule of probability) 01/2 1/3 37/84 47/84

Q: Suppose that A, B are two events such that P(A)  = 0.7, P (B) = 0.55 and P  (A / B) = 0.6 Find P (A…

A:

Q: Assume A and B are independent events with P(4)=0.2 and P(B)-0.5. Let D be the event that exactly…

A:

Q: Let A and B be events such that P (A) = 4/10 and that P (A U B) = 7/10 Find the probability of B…

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Q: Let A and B be events with P(A) = 0.5 and P(AnB) = 0.4. For what value of P(B) will A and B be…

A:

Q: If A  and   B    are independent events with    P(A)=0.24    and    P(B)=0.73  Calculate and find…

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Q: Suppose that C and D are events such that P(C) = 4/5 and P(C&D) = 3/10. Find P(D| C).

A: The formula for conditional probability is,

Q: 3 Assume that a biased die has P(1) = 1, P(2) = }, P(3) = P(4) = ¿ , P(5) =,P(6) = . If the die is…

A: Given - Assume that a biased die has P1 = 14, P2 = 18, P3 = P4 = 16, P5 = 112, P6 = 524. To find -…

Q: Let A, B be independent events with P (A) = P (B) = 1/3. Find the probability that exactly one of…

A: Probability value is calculated by dividing the number of possible observations involve in the event…

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: Assume A and B are independent events with P(A) = 0.1 and P(B) = 0.3. Find (a) P(A N B), (b) P(A U…

A:

Q: Suppose that E and F are two events and that N(E and F)=480 and N(E)=700. What is P(F|E)​?…

A: We have to find out given probability..

Q: Let X and Y be two possible events with P(X) = 0.38 and P(Y) = 0.23 respectively. Assume that events…

A: Answer: From the given data, P(X) = 0.38 P(Y) = 0.23

Q: Suppose events A and B are independent and P(A) = = 1 P(B) = 4 Find the probability. (Enter the…

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Q: Suppose events A and B are independent and 1 P(A) P(B) = = 4 Find the probability. (Enter the…

A: Introduction: The two events of interest here are, A and B.

Q: Suppose that A and B are independent events such that P (4)=0.40 and P(B)-0.70. Find P(ANB) and P…

A: We have given that A and B are independent events.

Q: P(lightning | rain) = P(rain | lightning):

A: We have given that  The total number of days = 365 Rainy days = 103 Lightning days = 20 Rainy and…

Q: 25. In a small countryside, there is a doctor and a nurse. The probabilities that the doctor and the…

A: We have given that  The probabilities that the doctor and the nurse are available in the countryside…

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

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Q: Assume that the events A and B are independent with P(A) = .30 and P(B) = 40. The probability that…

A: We have given that,  P(A) = 0.30 and P(B) = 0.40 Then,  We will find the probability that  both…

Q: Find the probability that Amanda swims more than 4 times a month

A:

Q: Q1: Suppose that are have a fuse box, containing 20 fuses of which 5 are defective. If 2 fuses are…

A: To find the probability that both fuses are defective.

Q: Suppose that E and F are two events and that N(E and F)=340 and N(E)=720. What is P(F|E)​?…

A: Given,  N(E and F)=340 and N(E)=720.

Q: Q3: b) Ahmed is taking Mathematics and Geology. His probabilities for getting grade of 90 (consider…

A: # Here Given that,     P(M)=0.70     P(G)=0.60     P(M∩G)=0.50

Q: 51 77. (a) The probability that a driver stopping at a petrol station will have his car tyres…

A:

Q: If A and B are two events such that P (A or B) =2/3 , P(ABC)=1/3 and P(A/B)= 1/6. Find P(A). Select…

A: For two events A and B,

Q: Let A and B be two events such that P(A) = ¼ While P(A or B) = ½. Let P(B) = P. For which value of…

A: The probability of happening of event A is 14. The probability of happening of event A or event B…

Q: 8) (1 point) An event A will occur with probability 0.234. An event B will occur with prob- ability…

A: Solution

Q: 10. Two events A, B on the probability space (2, B, P) are Exercise 9) if equivalent (see P(ANB) =…

A: Two events A and B are called equivalent if the number of elements for both is equal. It is valid…

Q: Assume that events X, Y, Z are mutually exclusive (pairwise) and P(X) = 0.132 P(Y) = 0.1618 P(Z)…

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Q: A and B are disjoint events such that P(A)=0.30 and P(B) =0.40 Then P(BNA) = O 0.30 O 0.70 none

A: Given, P(A)=0.30 P(B)=0.40 The events A and B are disjoints.

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: According to the National Institutes of Health, 55% of adults experience some form of lactose…

A: Let p denotes the population proportion of adults who experience some form of lactose intolerance.…

Q: you say about P(B)?

A:

Q: Assume A and B are independent events with P(A)= 0.6 and P(B) = 0.7. Find (a) P(An B), (b) P(A U B).…

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Q: QI: (a) If a card is drawn from an ordinary deck of 52 playing cards, find the probability that (i)…

A: Given: Number of cards in a deck = 52