Q: The chances of failing in physics are 20% and the chances of failing in mathematics are 10%. What are the chances to fail in at least one subject?
A: 28 %
Q: A problem of mathematics is given to three students whose chances of solving the problem are 1/3, 1/4 and 1/5 respectively. What is the probability that the question will be solved?
A: 3/5
Q: In a simultaneous throw of two dice, what is the probability of getting a total of 10 or 11?
A: 5/36
Q: There are 15 boys and 10 girls in a group discussion. If three students are selected at random, what is the probability that 2 girls and 1 boy are selected?
A: 27/92
Q: Three letters are to be sent to different persons and addresses on the three envelopes are also written. Without looking at the addresses, what is the probability that the letters go into the right envelope?
A: 1/6
Q: A family has got only two children. If one among the two children is a boy, then what is the probability that the other child is a girl ?
A: 2/3
Q: A bag contains 3 red, 4 white and 5 blue balls. All balls are different. Two balls are drawn at random. What is the probability that they are of different colours?
A: 47/66
Q: In how many different ways can the letters of the word KINETIC be arranged so that the vowels never come together?
A: 2160
Q: From a bag containing 8 green and 5 red balls, three are drawn one after the other. The probability of all three balls beings green if the balls drawn are replaced before the next ball pick and the balls drawn are not replaced, are respectively?
A: 512/2197, 336/1716
Q: There are 5 girls and 5 boys. If they want to sit at different positions, then in how many in which girls and boys sit at alternate positions?
A: 86400
Q: In a lottery 50 tickets are sold in which 14 are of the prize. A man bought 2 tickets, then what is the probability that the man wins the prize?
A: 17/35
Q: What is the probability of getting a sum 9 from two throws of a dice?
A: 1/9
Q: From a group of 13 scientists which contain 5 mathematicians and 8 physicists, it is required to appoint a committee of two. If the selection is made without knowing the identity of the scientists, what is the probability that one will be mathematician and the other a physicist?
A: 20/39
Q: How many words can be made out of the letters of word ‘POUNDING’ such that all vowels occupy odd places?
A: 1440
Q: A room contains 3 red, 5 green and 4 blue chairs. Two chairs are picked and are put in the lawn. What is the probability that none of the chairs picked is blue?
A: 14/33
Q: From a book containing 100 page one page is selected randomly. What is the probability that the sum of the digits of the page number of the selected page is 11?
A: 2/25
Q: A natural number is chosen at random from the first 100 natural numbers. What is the probability that the number chosen is a multiple of 2 or 3 or 5?
A: 74/100
Q: Rohit has got an urn containing a few marbles as a birthday gift from his friend. The Urn had 4 white, 5 red and 6 blue balls. The next day Rohit opens the gift and draws three marbles at random. What is the probability that all the 3 marbles are red in color?
A: 2/91
Q: If two dices are rolled together, then find the probability of getting a number on one dice greater than the number on the other dice?
A: 5/6
Q: Word 'UNIVERSITY' is arranged randomly. Then, what is the probability that both I does not come together?
A: 4/5
Q: Three unbiased coins are tossed. What is the probability of getting at most two heads?
A: 7/8
Q: One card is picked randomly from a pack of 52 playing cards. What is the probability that it would either be black queen or red king?
A: 1/13
Q: From a heap of N bulbs, Nitin chooses a bulb at random. If the probability of choosing a 40W bulb is 1/4 and the probability of choosing a 60W bulb is 3/7, then how many bulbs are present overall? (Assuming there are 60 bulbs which are neither 40W nor 60W)
A: 140
Q: Suppose p is the number of cars per minute passing through a certain road junction between 5 PM and 6 PM, and p has a Poisson distribution with mean 3. What is the probability of observing fewer than 3 cars during any given minute in this interval?
A: 17 / (2e3)
Q: There are 8 men and 7 women. In how many ways a group of 5 people can be made such that at least 3 men are there in the group?
A: 1722
Q: A dice is thrown twice, what is the probability that 5 will not come up either time?
A: 25/36
Q: Cards numbered from 1 to 20 are mixed up and a card is drawn at random. What is the probability that the card drawn has a number which is a multiple of 4 or 9.
A: 7/20
Q: A box contains 6 bottles of variety 1 drink, 3 bottles of variety 2 drink and 4 bottles of variety 3 drink. Three bottles of them are drawn at random, what is the probability that the three are not of the same variety?
A: 833/858
Q: From a well shuffled pack of 52 cards, a card is drawn at random. Find the probability that the drawn card is a king or a queen.
A: 2/13