Answer the three multiple choice questions about probability. 1. Let A and B be two events such that the occurrence of A implies the occurrence of B, but not vice versa.Which of the following is true?A. P(A) > P(B)В. Р(А) > Р(В)C. P(A) < P(B)D. P(A) < P(B)2. A loaded coin is tossed once, let A be the event that a head comes up, and B be the event that a tailcomes up. Which of the following is true about ANB?A. It is an impossible event.B. It is independent of the sample space.C. It has a probability of 0.D. All of the above3. Suppose an outcome is part of event A but not part of event B. Which of the following is false?A. The outcome is in AUB.B. The outcome is not in ACUBC.C. The outcome is in (AUB)C.D. The outcome is in ANBC.

Since you have posted multiple questions, we are answering the first question. Here, A and B be two…

Answered: 1. Let A and B be two events such that…

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section11.8: Probabilities Of Disjoint And Overlapping Events

Problem 2C

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Dividing a Jackpot A game between two pIayers consists of tossing coin. Player A gets a point if the coin shows heads, and player B gets a point if it shows tails. The first player to get six points wins an $8000 jackpot. As it happens, the police raid the place when player A has five points and B has three points. After everyone has calmed down, how should the jackpot be divided between the two players? In other words, what is the probability of A winning (and that of B winning) if the game were to continue? The French mathematicians Pascal and Fermat corresponded about this problem, and both came to the same correct conclusion (though by very different reasoning's). Their friend Roberval disagreed with both of them. He argued that player A has probability of Winning, because the game can end in the four ways H, TH, TTH, TTT, and in three of these, A wins. Roberval’s reasoning was wrong. Continue the game from the point at which it was interrupted, using either a coin or a modeling program. Perform this experiment 80 or more times, and estimate the probability that player A wins. Calculate the probability that player A wins. Compare with your estimate from part (a).
Dividing a JackpotA game between two players consists of tossing a coin. Player A gets a point if the coin shows heads, and player B gets a point if it shows tails. The first player to get six points wins an 8,000 jackpot. As it happens, the police raid the place when player A has five points and B has three points. After everyone has calmed down, how should the jackpot be divided between the two players? In other words, what is the probability of A winning and that of B winning if the game were to continue? The French Mathematician Pascal and Fermat corresponded about this problem, and both came to the same correct calculations though by very different reasonings. Their friend Roberval disagreed with both of them. He argued that player A has probability 34 of winning, because the game can end in the four ways H, TH, TTH, TTT and in three of these, A wins. Robervals reasoning was wrong. a Continue the game from the point at which it was interrupted, using either a coin or a modeling program. Perform the experiment 80 or more times, and estimate the probability that player A wins. bCalculate the probability that player A wins. Compare with your estimate from part a.
a What is meant by the conditional probability of E given F? How is this probability calculated? b What are independent events? c If E and F are independent events, what is the probability of E and F occurring? What if E and F are not independent? d A jar contains 3 white and 7 black balls. Let E be the event the first ball drawn is black and let F be the event the second ball drawn is black. i Find P(EF) if the balls are drawn with replacement. ii Find P(EF) if the balls are drawn without replacement.

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1. Let A and B be two events such that the occurrence of A implies the occurrence of B, but not vice versa. Which of the following is true? А. Р(А)2 P(B) В. Р(А) > Р(В) С. РА)