Q: The probability of hitting 120m high six by three different batsmen is 1/3, 1/4, and 1/5 respectively. Find the probability that only one of the batsman will hit 120m six when they hit simultaneously?
A: 13/30
Q: An urn contains 4 white 6 black and 8 red balls. If 3 balls are drawn one by one without replacement, find the probability of getting all white balls.
A: 1/204
Q: A dice is rolled three times and the sum of three numbers appearing on the uppermost face is 15. What is the chance that the first roll was four?
A: 1/5
Q: A company needs to choose a team of 4 from a group of 3 content managers, 3 R&D engineers and 5 client engagement managers for the completion of a project. What is the probability that exactly 3 of them are client engagement managers?
A: 2/11
Q: In his room, Charan has trousers one being Red and the remaining being Yellow and Green. He also has got four shirts where One of them is red and the other 3 are white. He opens his room in the dark and picks out one shirt and one trouser pair without examining the color. What is the likelihood that neither the shirt nor the trouser is red?
A: 1/2
Q: Venu draws a card from a pack of 52 cards. His friend challenges that the card that Venu picked will be a red card or heart or a king. What is the probability that his friend is right ?
A: 7/13
Q: What is the probability of the occurrence of a number that is odd or less than 5 when a fair die is rolled.
A: 5/6
Q: There are 49 cards in a box numbered from 1 to 49. Every card is numbered in a distinct manner. What is the probability of picking up a card, which is a multiple of 5 but not a multiple 10 or 15?
A: 3/49
Q: Each coefficient in the equation ax2 + b x + c = 0 is determined by choosing a number from spade cards in a deck. Find the probability that the equation will have equal roots.
A: 6/2197
Q: Five letters are sent to different persons and addresses on the five envelopes are written at random. The probability that all the letters do not reach the correct destiny is
A: 44/120
Q: Ranjith picks a card at random out of 52 cards. If he picks a black card or a number six from the deck, what is the probability of that?
A: 7/13
Q: A clerk was busy arranging all the required letters for the respective envelopes. Since it was festival season, he had to arrange more letters than usual. He had five letters which has to be sent to different addresses in five envelopes. What is the probability that all the letters do not reach the correct address?
A: 44/120
Q: Eleven books, consisting of five science books, four english books and two language books, are arranged in a deck at random. What is the probability that the books of each kind are all together?
A: 1/1155
Q: A box contains tickets numbered from 1 to 24. 3 tickets are to be chosen to give 3 prizes. What is the probability that at least 2 tickets contain a number which is multiple of 3?
A: 63/253
Q: Harish chooses a number 'a' at random from the first 99 natural numbers. What is the probability that a(a+1) is a multiple of three?
A: 2/3
Q: The probability of a maths special class happening on weekend is 50 percent, what is the probability that the class happens on exactly 3 weekends in a 5-weekend month?
A: 5/16
Q: Urn A contains 6 red and 4 black balls and urn B contains 4 red and 6 black balls. One ball is drawn at random from urn A and placed in urn B. Then one ball is drawn at random from urn B and placed in urn A. If one ball is now drawn at random from urn A, the probability that it is found to be red is
A: 32/55
Q: A, B, C, D and E play the following game. Each person picks one card from the cards numbered 1 through 10. The person who picks the greatest numbered card loses and is out of the game. Now the remaining four return their cards to the pack and draw again, and again the person with the greatest numbered card loses. This process is repeated till only one person is left in the game that is declared the winner. What is the probability that A is the winner?
A: 1/5
Q: The probability of winning a race by three horses A, B and C are 1/2, 1/4, 1/4, respectively. They run three races. The probability of C winning the second and third races when B, wins the first race is
A: 3/64
Q: A bag contains 3 green, 5 black and 4 brown balls.3 balls are drawn randomly. What is the probability that all balls are different ?
A: 3/11
Q: Ganesh wishes to play a lucky draw contest, where he is allowed to pick 3 balls from a bag at random. The bag contains 3 red, 5 white and 4 blue color balls in it. Now Ganesh can win the contest only if all the 3 balls he chose was different colored balls. What is the probability that Ganesh will win the contest?
A: 3/11
Q: Aravind chooses seven positive numbers at random and he multiplies all of them together to get a product that ends in an odd number. What is the probability that the product does not end in 7?
A: (2/5)7
Q: In a survey, the probability of a person who likes Quant is 17/20 and probability of a person who likes reasoning is 9/20 and the probability of a person who likes both quant and reasoning is 2/5, then find the probability of a person who does not like any of them?
A: 1/10
Q: What is the probability of getting a 2 or a 5 when a die is rolled?
A: 1/3
Q: Out of 16 destinations for a vacation, 7 places are in Asia and 9 in Europe. Two places are to be selected for the vacation. The probability that at least one of the selected places will be in Asia is:
A: 7/10
Q: A coin is tossed twice. If the coin shows a head it is tossed again but if it shows a tail then a die is tossed. If 8 possible outcomes are equally likely, find the probability that the die shows a number greater than 4 if it is known that the first throw of the coin results in a tail.
A: 1/3
Q: We are given a set X = {x1, .... xn} where xi = 2i. A sample S ⊆ X is drawn by selecting each xi independently with probability pi = 1/2. The expected value of the smallest number in sample S is:
A: n
Q: The odds against a husband who is 50 years old living till he is 70 are 7 : 5 and the odds against his wife who is now 40, living till 60 is 5 : 3. Find the probability that the couple will be alive 20 years hence.
A: 5/32
Q: 8 coins are tossed simultaneously. What is the probability of getting at least 6 heads?
A: 37/256
Q: Amirtha goes to Temple A on every date which is multiple of 3 and goes to temple B on every date which is multiple of 7, find the probability that he goes to either temple A or B in year 2020. (Start counting from 1Jan 2020)
A: 157/366