We have the following data: P(A) = 0.46, P(A union B) = 0.72. If A and B are mutually exclusive events. Then Find P(B)?
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- When Paul plays pen and paper game against his favorite computer program, he wins with probability 0.60, loses with probability 0.10, and 30% of the games result is a draw. Assuming independence, find the probability that Paul's fifth win happens when he plays his eighth game. Select one: O a, z 0.438178 O b. z 0.21499 O c. 2 0.096 O d. None of these O e. z 0,17418 The correct answer is: 0.17418If A and B are independent events, P(A)=0.11, and P(B)=0.74, what is P(B|A)?Given P(A) = 0.076, P(B) = 0.184, and P(C) = 0.159, and that events A, B, and C are mutually exclusive, what is the P(A or B or C)? Answer in decimal form. Round to 3 decimal places as needed.
- If two events A and B are independent and you know that P(A) = 0.70, what is the value of P(A | B)?Decide whether the following pairs of events are dependent or independent. A red and a green die are rolled. A is the event that the red die comes up even, and B is the event that the green die comes up even.Given P(A) = 0.71, P(B) = 0.56, P(C) = 0.26 and that events A, B, and C are independent, what is P(A, B, and C). Answer in decimal form. Round to 3 decimal places as needed.
- Suppose that, for events A and B, P(A)= 0.2, P(B)= 0.85, and P(AandB)= 0.17. Are A and B disjoint? Explain your answer in one or two sentences.Find the conditional probability of the given event when two fair dice (one red and one green) are rolled. The red one is 2, given that the green one is 2. X 0.17Assume that A and B are events. If P(AUB) = 0.7, P(A) = 0.4, and P(B) = 0.55, find P(ANB). P(ANB) = (Simplify your answer. Type an integer or a decimal.)
- Let A and B be mutually exclusive events, such that P(A) = = 0.9304 and P(B) = 0.0423 . Find the following probabilities: P(A and B)= % (Round the answer to 2 decimals) P(A or B)= % (Round the answer to 2 decimals)and V are mutually exclusive events. P(U) = 0.29; P(V) = 0.52. Find: a. P(U and V) = b. P(U|V) = c. P(U or V) =Example 2.3.22 A room has 3 electric lamps. From a collection of 10 electric bulbs, of which 6 are good, 3 are selected at random and put in the lamps. Find the probability that the room is lighted.