75. In an examination 30% of the students have failed in Mathematics, 20% of thestudents have failed in Chemistry and 10% have failed in both Mathematics and Chemistry. A student isselected at random.(i) What is the probability that the student has failed in Mathematics when it is known that he hasfailed in Chemistry ?(ii) What is the probability that the student has failed either in Mathematics or in Chemistry ?

Let : A:Mathematics and B:Chemistry Given : P(A)=0.30 , P(B)=0.20 , Our aim is to find the…

Answered: (i) What is the probability that the…

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 14T: An unbalanced coin is weighted so that the probability of heads is 0.55. The coin is tossed ten...

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Similar questions

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?
Three people are chosen at random from a group of live men and ten women. What is the probability that all three are men?
Three people are chosen at random from a group of five men and ten women. What is the probability that all three are men?
An unbalanced coin is weighted so that the probability of heads is 0.55. The coin is tossed ten times. (a) What is the probability of getting exactly 6 heads? (b) What is the probability of getting fewer than 3 heads?

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(i) What is the probability that the student has failed in Mathematics when it is known that he has failed in Chemistry? (ii) What is the probability that the student has failed either in Mathematics or in Chemistry 2