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Recent questions tagged p577

Five cards are drawn successively with replacement from a well-shuffled deck of 52 cards. What is the probability that (i) all the five cards are spades? (ii) only 3 cards are spades? (iii) none is a spade?

asked Mar 20, 2014 by balaji.thirumalai

1 answer

A person buys a lottery ticket in 50 lotteries, in each of which his chance of winning a prize is $ \frac{1}{100}$. What is the probability that he will win a prize (a) at least once (b) exactly once (c) at least twice?

asked Nov 27, 2012 by balaji.thirumalai

1 answer

On a multiple choice examination with three possible answers for each of the five questions, what is the probability that a candidate would get four or more correct answers just by guessing ?

asked Nov 27, 2012 by balaji.thirumalai

1 answer

Suppose X has a binomial distribution \(B\: ( 6, \frac{1}{2})\) . Show that X = 3 is the most likely outcome. Hint : P(X = 3) is the maximum among all \(P(x_i),\: x_i = 0,1,2,3,4,5,6\)

asked Nov 27, 2012 by balaji.thirumalai

1 answer

In an examination, 20 questions of true-false type are asked. Suppose a student tosses a fair coin to determine his answer to each question. If the coin falls heads, he answers TRUE; if it falls tails, he answers FALSE. Find the probability that he answers at least 12 questions correctly.

asked Nov 27, 2012 by balaji.thirumalai

1 answer

A bag consists of 10 balls each marked with one of the digits 0 to 9. If four balls are drawn successively with replacement from the bag, what is the probability that none is marked with the digit 0?

asked Nov 27, 2012 by balaji.thirumalai

1 answer

The probability that a bulb produced by a factory will fuse after 150 days of use is 0.05. Find the probability that out of 5 such bulbs \[ \text{ (i) none (ii) not more than one (iii) more than one (iv) at least one} \] will fuse after 150 days of use.

asked Nov 27, 2012 by balaji.thirumalai

1 answer

Five cards are drawn successively with replacement from a well-shuffled deck of 52 cards. What is the probability that (i) all the five cards are spades? (ii) only 3 cards are spades? (iii) none is a spade?

asked Nov 27, 2012 by balaji.thirumalai

1 answer

There are 5% defective items in a large bulk of items. What is the probability that a sample of 10 items will include not more than one defective item?

asked Nov 27, 2012 by balaji.thirumalai

1 answer

A pair of dice is thrown 4 times. If getting a doublet is considered a success, find the probability of two successes.

asked Nov 27, 2012 by balaji.thirumalai

1 answer

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