(54) Conditional Probabilit X2/a2_2022.pdf1/2Post a new question150%A student is trying to passSolved: A fair com is fosse *5. The Toronto Blue Jays are going to the playoffs! Let's consider a best of three playoff series. If the Jays win every gamethey play with probability, then what is the probability that the Jays will win their best of three series? A best of threeseries means the first team to win 2 games wins the series.6. A fair coin is tossed until either a head comes up or four tails are obtained. What is the expected number of tosses?7. Suppose that a certain tech company sources their chips from three different factories, F₁, F2 and F3. Suppose the percent-ages of each shipment that are defective are 10%, 8% and 3% respectively. Factory F₁ supplies 20%, F₂ supplies 30% andF3 supplies 50% of the chips to the tech company. Suppose quality control selects a chip at random and it is defective. Whatis the probability the chip came from factory F₂?8. A treasure chest contains 25 gold coins and 15 silver coins. Two are chosen at random one after the other, without replace-ment (ie, once you take the first one out, there are now 39 coins in the chest).(a) Use a tree diagram to help calculate the following probabilities:• the probability that both coins are gold• the probability that the first coin is gold and second is not• the probability that the first coin is silver and the second is gold

5) Given : Let W represent that jace will win L represents that jace will loose Therefore, p(W)…

Answered: 5. The Toronto Blue Jays are going to…

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter9: Counting And Probability

Section: Chapter Questions

Problem 2P: Family Planning A intend to have two children. What is tie probability that they will have child of...

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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.
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).
In Example 8, what is the probability that an employee chosen at random has 30 or more years of service?
Refugees In a refugee camp in southern Mexico it was found that 90 of the refugees came to escape political oppression, 80 came to escape abject poverty, and 70 came to escape both. What is the probability that a refugee in the camp was not poor nor seeking political asylum?
Family Planning A intend to have two children. What is tie probability that they will have child of each sex? The French mathematician IY Alembert analyzed this problem (incorrectly) by reasoning that three outcomes are possible: or two girls, or one child of each sex. He concluded that probability of having of each sex is mistakenly assuming that three outcomes are likely. (a) Model this problem with a pair of coins (using "heads" for boys and "tails" for girls). or write a program to model of problem. perform the experiment 40 mere times. Counting the number of boy-girl combinations. Estimate the probability of having child of each. (b) Calculate the correct probability of having one child of each sex and compare this with your result from part (a).

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