6 Two fair twelve-sided dice with sides marked 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12 arethrown, and the numbers on the sides which land face down are noted. Events Q and Rare defined as follows.Q: the product of the two numbers is 24.R: both of the numbers are greater than 8.(i)Find P(Q).(ii)Find P(R).(iii)Are events Q and R exclusive? Justify your answer.Are events Q and R independent? Justify your answer.(iv)Christa takes her dog for a walk every day. The probability that they go to the park onany day is 0.6. If they go to the park there is a probability of 0.35 that the dog will bark. Ifthey do not go to the park there is a probability of 0.75 that the dog will bark.(i)Find the probability that they go to the park on more than 5 of the next 7 days.Find the probability that the dog barks on any particular day.(ii)bearbeW yd ni bebripri ed ofboto bho emon juoy dtod spulont expe

HERE AS PER GUIDELINES I HAVE CALCULATED 3 SUBPARTS OF QUESTION two 12 sided dice are thrown ,…

Answered: (i) (ii) (iii) Find P(Q). Find P(R).…

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter9: Counting And Probability

Section9.2: Probability

Problem 61E: Balls in a Jar Jar A contains three red balls and four white balls. Jar B contains five red balls...

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Similar questions

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).
Balls in a Jar Jar A contains three red balls and four white balls. Jar B contains five red balls and two white balls. Which one of the following ways of randomly selecting balls gives the greatest probability of drawing two red balls? (i) Draw two balls from jar B. (ii) Draw one ball from each jar. (iii) Put all the balls in one jar, and then draw two balls.

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(i) (ii) (iii) Find P(Q). Find P(R). Are events Q and R exclusive? Justify your answer.