JEE Questions for Maths Probability Quiz 12

A biased die is tossed and the respectively probabilities for various faces to turn up are given below
If an even face has turned up, then the probability that it is face 2 or face 4 is

0%
0.25
0%
0.42
0%
0.75
0%
0.9

0%
0%
2)
0%
0%
None of these

A letter is known to have come either from LONDON or CLIFTON; on the postmark only the two consecutive letters ON are eligible. The probability that it came from LONDON is

0%
0%
2)
0%
0%

0%
0%
2)
0%
0%

For a biased die the probabilities for different faces to turn up are given below
The die is tossed and you are told that either face 1 or 2 has turned up. Then the probability that is face 1 is

0%
0%
2)
0%
0%
None of these

In a certain town, 40% of the people have brown hair, 25% have brown eyes and 15% have both brown hair and brown eyes. If a person selected at random from the town, has brown hair, the probability that he also has brown eyes is

0%
0%
2)
0%
0%

0%
0%
2)
0%
0%

In an entrance test there are multiple choice questions. There are four possible answers to each question of which one is correct. The probability that a student knows the answer to a question is 90%. If he gets the correct answer to a question, then the probability that he was guessing is

0%
0%
2)
0%
0%

A coin is tossed three time in succession. If E is the event that there are lease two heads and F is the event in which first throw is a head, then P(E/F) =

0%
0%
2)
0%
0%

0%
0%
2)
0%
0%
None of these

A signal which can be green or red with probability 4/5 and 1/5 respectively, is received by station by station A and then transmitted to station B. The probability of each station receiving the signal correctly is ¾. If the signal received at station B is green, then the probability that the original signal was green is

0%
0%
2)
0%
0%

0%
0%
2)
0%
0%
All of the above

Two cards are drawn one by one from a pack of cards. The probability of getting first card an ace and second a colored one is (before drawing second card first card is not placed again in the pack)

0%
0%
2)
0%
0%

One die is thrown three times and the sum of the thrown numbers is 15. The probability for which number 4 appears in first throw

0%
0%
2)
0%
0%

One ticket is selected at random from 50 tickets numbered 00, 01, 02,…,49. Then the probability that the sum of the digits on the selected ticket is 8, given that the product of these digits is zero, equals

0%
0%
2)
0%
0%

A man is known to speak the truth 3 out of 4 times. He throws a die and reports that it is a six. The probability that it is actually a six is

0%
0%
2)
0%
0%
None of these

A bag ‘A’ contains 2 white and 3 red balls and bag ‘B’ contains 4 white and 5 red balls. One ball is drawn at random from a randomly chosen bag and is found to be red. The probability that it was drawn from bag ‘B’ was

0%
0%
2)
0%
0%

A bag X contains 2 white and 3 black balls and another bag Y contains 4 white and 2 black balls. One bag is selected at random and a ball is drawn from it. Then the probability for the ball chosen be white is

0%
0%
2)
0%
0%

Bag A contains 4 green and 3 red balls and bag B contains 4 red and 3 green balls. One bag is taken at random and a ball is drawn and noted it is green. The probability that it comes bag B

0%
0%
2)
0%
0%

8 coins are tossed simultaneously. The probability of getting at least 6 heads is

0%
0%
2)
0%
0%

In a box containing 100 eggs, 10 eggs are rotten. The probability that out of a sample of 5 eggs none is rotten if the sampling is with replacement is

0%
0%
2)
0%
0%

If X is a Poisson variate such that P(X == P(X = 2), then P(X =is equal to

0%
0%
2)
0%
0%

In a box of 10 electric bulbs, two are defective. Two bulbs are selected at random one after the other from the box. The first bulb after selection being put back in the box before making the second selection. The probability that both the bulbs are without defect is

0%
0%
2)
0%
0%

A fair coins is tossed n times. If the probability that head occurs 6 time is equal to the probability that head occurs 8 time, then n is equal to

0%
15
0%
14
0%
12
0%
7

If three dice are thrown together, then the probability of getting 5 on at least one of them is

0%
0%
2)
0%
0%

If a dice is thrown 7 times, then the probability of obtaining 5 exactly 4 times is

0%
0%
2)
0%
0%

If x denotes the number of sixes in four consecutive throws of a dice, then P(x =is

0%
0%
2)
0%
1
0%

A man make attempts to hit the target. The probability of hitting the target is 3/5. Then the probability that A hit the target exactly 2 times in 5 attempts is

0%
0%
2)
0%
0%
None of these

If a dice is thrown 5 times, then the probability of getting 6 exact three times is

0%
0%
2)
0%
0%

In binomial probability distribution, mean is 3 and standard deviation is 3/2. Then the probability distribution is

0%
0%
2)
0%
0%

A dice is thrown ten times. If getting even number is considered as a success, then the probability of four successes is

0%
0%
2)
0%
0%

If the mean and variance of a binomial variate X are 2 and 1 respectively, then the probability that X takes a value greater than 1 is

0%
0%
2)
0%
0%

A pair of fair dice is thrown independently three times. The probability of getting a score of 9 exactly twice is

0%
0%
2)
0%
0%

A biased coin with probability p, 0 < p < 1, of heads is tossed until a head appears for the first time. If the probability that the number of tosses required is even is 2/5, then p =

0%
0%
2)
0%
0%
None of these

The probability of a bomb hitting a bridge is 1/2 and two direct hits are needed to destroy it. The least number of bombs required so that the probability of the bridge being destroyed is greater than 0.9 is

0%
8
0%
7
0%
6
0%
9

In a binomial distribution, the mean is 4 and variance is 3. Then its mode is

0%
6
0%
5
0%
4
0%
None of these

A die is tossed thrice. If getting a four is considered a success, then the mean and variance of the probability distribution of the number of successes are

0%
0%
2)
0%
0%
None of these

A die is tossed twice. Getting a number greater than 4 is considered a success. Then the variance of the probability distribution of the number of successes is

0%
0%
2)
0%
0%
None of these

A die is thrown three times. Getting a 3 or a 6 is considered success. Then the probability of at least two successes is

0%
0%
2)
0%
0%
None of these

In a simultaneous toss of four coins, what is the probability of getting exactly three heads

0%
0%
2)
0%
0%
None of these

A coin is tossed successively three times. The probability of getting exactly one head or 2 heads, is

0%
0%
2)
0%
0%
None of these

The items produced by a firm are supposed to contain 5% defective items. The probability that a sample of 8 items will contain less than 2 defective item is

0%
0%
2)
0%
0%

The probability that a man can hit a target is 3/4. He tries 5 times. The probability that he will hit the target at least three times is

0%
0%
2)
0%
0%

A fair coin is tossed a fixed number of items. If the probability of getting 7 heads is equal to that of getting 9 heads, then the probability of getting 3 heads is

0%
0%
2)
0%
0%
None of these

A contest consists of predicting the results win, draw or defeat of 7 football matches. A sent his entry by predicting at random. The probability that his entry will contain exactly 4 correct predictions is

0%
0%
2)
0%
0%

If these are n independent trails, p and q the probability of success and failure respectively, then probability of exactly r successes

0%
0%
2)
0%
0%

A die is tossed thrice. A success is getting 1 or 6 on a toss. The mean and the variance of number of successes

0%
0%
2)
0%
0%
None of these

If X follows a binomial distribution with parameters n = 6 and p and 4 (P(X = 4)) = P(X = 2), then p =

0%
0%
2)
0%
0%

The value of C for which P(X = k) = Ck² can serve as the probability function of a random variable X that takes 0, 1, 2, 3, 4 is

0%
0%
2)
0%
0%

In a bag there are three tickets numbered 1, 2, 3. A ticket is drawn at random and put back and this is done four times. The probability that the sum of the numbers is even is

0%
0%
2)
0%
0%
None of these

JEE Questions for Maths Probability Quiz 12 - MCQExams.com

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Practice Maths Quiz Questions and Answers

JEE Questions for Maths Probability Quiz 12 - MCQExams.com

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Practice Maths Quiz Questions and Answers

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