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Eight players play a knock-out tournament. It is known that whenever the players and play, the player will win if . Assuming that the players are paired at random in each round, what is the probability that the player reaches the final?
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Question 1
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Coloured bills are distributed in three bags as shown in the following table:BagColour of the ball BlackWhiteRedI123II241III453A bag is selected at random and then two balls are randomly drawn from the selected bag. They happen to be black and red. What is the probability that they came from bag I?Question 3
Assume that the chances of a patient having a heart attack is 40%. Assuming that a meditation and yoga course reduces the risk of heart attack by 30% and prescription of certain drug reduces its chance by 25%. At a time a patient can choose any one of the two options with equal probabilities. It is given that after going through one of the two options, the patient selected at random suffers a heart attack. Find the probability that the patient followed a course of meditation and yoga. Interpret the result and state which of the above stated methods is more beneficial for the patient.Stuck on the question or explanation?
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Question Text | Eight players play a knock-out tournament. It is known that whenever the players and play, the player will win if . Assuming that the players are paired at random in each round, what is the probability that the player reaches the final? |