JEE Questions for Maths Probability Quiz 8

A bag contains 3 black and 4 white balls. Two balls are drawn one by one at random without replacement. The probability that the second drawn ball is white

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‘A’ draws two cards with replacement from a pack of 52 cards and ‘B’ throws a pair of dice what is the chance that ‘A’ gets both cards of same suit and ‘B’ gets total of 6

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A box contains 2 black, 4 white and 3 red balls. One ball is drawn at random from the box and kept aside. From the remaining balls in the box, another ball is drawn at random and kept aside the first. This process is repeated till all the balls are drawn from the box. The probability that the balls drawn are in sequence of 2 black, 4 white and 3 red is

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None of these

A dice is rolled three times, the probability of getting a larger number than the previous number of each time is

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Cards are drawn one by one without replacement from a pack of 52 cards. The probability that 10 cards will precede the first ace is

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None of these

The probability that a teacher will give an unannounced test during any class meeting is 1/5. If a student is absent twice, then the probability that the student will miss at least one test is

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The chances of throwing a total of 3 or 5 or 11 with two dice is

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A six faced dice is so biased that it is twice as likely to show as even number as an odd number when thrown. It is thrown twice. The probability that the sum of two numbers thrown is even, is

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The chance of India winning toss is 3/4. Of it wins the toss, then its chance of victory is 4/5 otherwise it is only ½. Then chance of India’s victory is

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From a pack of 52 cards one card is drawn at random, the probability that it is either a king or a queen is

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From a pack of 52 cards, two cards are drawn one by one without replacement. The probability that first drawn card is a king and second is a queen, is

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None of these

An unbiased die is tossed until a number greater than 4 appears. The probability that an even number of tosses is needed is

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Two dice are thrown together. The probability that at least one will show its digit 6 is

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A bag contains 30 balls numbered from 1 to 30, one ball is drawn randomly. The probability that number on the ball is multiple of 5 or 7 is

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A person can kill a bird with probability 3/4. He tries 5 times. What is the probability that he may not kill the bird

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A fair coin is tossed repeatedly. If tail appears on first four tosses then the probability of head appearing on fifth toss equals

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A coin is tossed 3 times by 2 persons. What is the probability that both get equal number of heads

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None of these

The sum of two positive numbers is 100. The probability that their product is greater than 1000 is

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None of these

The corners of regular tetrahedrons are numbers 1, 2, 3, 4. There tetrahedrons are tossed. The probability that the sum of upward corners will be 5 is

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An integer is chosen at random and squared. The probability that the last digit of the square is 1 or 5 is

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Two integers are chosen at random and multiplied. The probability that the product is an even integer is

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A binary number is made up of 16 bits. The probability of an incorrect bit appearing is p and the errors in different bits are independent of one another. The probability of forming an incorrect number is

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A coin is tossed 4 times. The probability that at least one head turns up is

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A probability that in a year of the 22nd century chosen at random there will be 53 Sundays is

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Suppose that a die (with faces marked 1 tois loaded in such a manner that for K = 1, 2, 3,…6, the probability of the face marked K turning up when die is tossed is proportional to K. The probability of the event that the outcome of a toss of the die will be an even number is equal to

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The probability of choosing at random a number that is divisible by 6 or 8 from among 1 to 90 is equal to

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From a pack of 52 cards, two cards are drawn in succession one by one without replacement. The probability that both are aces is

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The probability that a leap year selected randomly will have 53 Sunday is

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A pair of a dice thrown, if 5 appears on at least one of the dice, then probability that the sum is 10 or greater is

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In a college, 25% of the boys and 10% of the girls offer Mathematics. The girls constitute 60% of the total number of students. If a student is selected at random and is found to be studying Mathematics, the probability that the student is a girl, is

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If two dice are thrown simultaneously then probability that 1 comes on first dice is

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None of these

If any four numbers are selected and they are multiplied then the probability that last digit will be 1, 3, 5 or 7 is

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None of these

If a coin be tossed n times then probability that the head comes odd times is

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None of these

The probability that a leap year will have 53 Fridays or 53 Saturday is

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Find the probability that the two digit number formed by digits 1, 2, 3, 4, 5 is divisible by 4 (while repetition of digit is allowed)

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None of these

Two cards are drawn without replacement from a well shuffled pack. Find the probability that one of them is an ace of heart

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None of these

A problem in Mathematics is given to three students A, B, C and their respective probability of solving the problem is 1/2, 1/3 and 1/4. Probability that the problem is solved is

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The chance of getting a doublet with 2 dice is

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A bag contains 3 red and 7 black balls, two balls are taken out at random, without replacement. If the first ball taken out is red, then what is the probability that the second taken out ball is also red