Quantitative Aptitude - Probability
Exam Duration: 60 Mins Total Questions : 30
In a simultaneous throw of two coins, the probability of getting at least one head is :
- (a)
\(1 \over 2\)
- (b)
\(1 \over 3\)
- (c)
\(2 \over 3\)
- (d)
\(3 \over 4\)
Three unbiased coins are tossed. What is the probability of getting at least 2 heads ?
- (a)
\(1 \over 4\)
- (b)
\(1 \over 2\)
- (c)
\(1 \over 3\)
- (d)
\(1 \over 8\)
Three unbiased coins are tossed. What is the probability of getting at most two heads ?
- (a)
\(3 \over 4\)
- (b)
\(1 \over 4\)
- (c)
\(3 \over 8\)
- (d)
\(1 \over 8\)
In a single throw of a die, what is the probability of getting a number greater than 4 ?
- (a)
\(1 \over 2\)
- (b)
\(1 \over 3\)
- (c)
\(2 \over 3\)
- (d)
\(1 \over 4\)
In a simultaneous throw of two dice, that is the probability of getting a total of 7 ?
- (a)
\(1 \over 6\)
- (b)
\(1 \over 4\)
- (c)
\(2 \over 3\)
- (d)
\(3 \over 4\)
In a simultaneous throw of two dice, what is the probability of getting a doublet ?
- (a)
\(1 \over 6\)
- (b)
\(1 \over 4\)
- (c)
\(2 \over 3\)
- (d)
\(3 \over 7\)
In a simultaneous throw of two dice, What is the provavility of getting a total of 10 or 11 ?
- (a)
\(1 \over 4\)
- (b)
\(1 \over 6\)
- (c)
\(7 \over 12\)
- (d)
\(5 \over 36\)
Two dice are thrown simultaneously. What is the probability of getting two numbers whose product is even ?
- (a)
\(1 \over 2\)
- (b)
\(3 \over 4\)
- (c)
\(3 \over 8\)
- (d)
\(5 \over 16\)
Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 3 or 5 ?
- (a)
\(1\over 2\)
- (b)
\(2\over 5\)
- (c)
\(8\over 15\)
- (d)
\(9\over 20\)
In a lottery, there are 10 prizes and 25 blanks. A lottery is drawn at random. What is the probability of getting a prize ?
- (a)
\(1\over 10\)
- (b)
\(2\over 5\)
- (c)
\(2\over 7\)
- (d)
\(5\over 7\)
One card is drawn ar random from a pack of 52 cards. What is the probability that the card drawn is a face card ?
- (a)
\(1\over 13\)
- (b)
\(4\over 13\)
- (c)
\(1\over 4\)
- (d)
\(9\over 52\)
A card is drawn from a pack of 52 cards. The probability of getting a queen of club or a king of red card or a king ?
- (a)
\(1\over 13\)
- (b)
\(2\over 13\)
- (c)
\(1\over 26\)
- (d)
\(1\over 52\)
One card is drawn from a pack of 52 cards. What is the probability that the card drawn is either a red card or a king ?
- (a)
\(1\over 2\)
- (b)
\(6\over 13\)
- (c)
\(7\over 13\)
- (d)
\(27\over 52\)
From a pack of 52 cards, one card is drawn at random. What is the probability that the card drawn is a ten or a spade ?
- (a)
\(4\over 13\)
- (b)
\(1\over 4\)
- (c)
\(1\over 13\)
- (d)
\(1\over 26\)
The probability that a card drawn from a pack of 52 cards will be a diamong or a king is :
- (a)
\(2\over 13\)
- (b)
\(4\over 13\)
- (c)
\(1\over 13\)
- (d)
\(1\over 52\)
From a pack of 52 cards, two cards are drawn together ar random. What is the probability of both the cards being kings ?
- (a)
\(1\over 15\)
- (b)
\(25\over 57\)
- (c)
\(35\over 256\)
- (d)
\(1\over 221\)
Two cards are drawn together from a pack of 52 cards. The probability that done is a spade and one is a heart, is :
- (a)
\(3\over 20\)
- (b)
\(29\over 34\)
- (c)
\(47\over 100\)
- (d)
\(13\over 102\)
Two cards are drawn from a pack of 52 cards. The probability that either both are red or both are kings, is :
- (a)
\(7\over 13\)
- (b)
\(3\over 26\)
- (c)
\(63\over 221\)
- (d)
\(55\over 221\)
A bag contains 6 black and 8 white balls. One ball is drawn at random. What is the probability that the ball drawn is white ?
- (a)
\(3\over 4\)
- (b)
\(4\over 7\)
- (c)
\(1\over 8\)
- (d)
\(3\over 7\)
A bag contains 4 white, 5 red and 6 blue balls. Three balls are drawn at random from the bag. The probability that all of them are red, is :
- (a)
\(1\over 22\)
- (b)
\(3\over 22\)
- (c)
\(2\over 91\)
- (d)
\(2\over 77\)
A bag contains 6 white and 4 red balls. Three balls are drawn at random. What is the probability that one ball is red and the other two are white ?
- (a)
\(1\over 2\)
- (b)
\(1\over 12\)
- (c)
\(3\over 10\)
- (d)
\(7\over 12\)
In a box, there are 8 red, 7 blue and 6 green balls. One ball is picked up randomly. What is the probability that it is neither red nor green ?
- (a)
\(2\over 3\)
- (b)
\(3\over 4\)
- (c)
\(7\over 19\)
- (d)
\(8\over 21\)
- (e)
\(9\over 21\)
A box contains 10 black and 10 white balls. The probability of drawing two balls of the same colour, is :
- (a)
\(9\over 19\)
- (b)
\(9\over 38\)
- (c)
\(10\over 19\)
- (d)
\(5\over 19\)
In a class, there are 15 boys and 10 girls. Three students are selected at random. The probability that 1 girl and 2 boys are selected, is :
- (a)
\(21\over 46\)
- (b)
\(25\over 117\)
- (c)
\(1\over 50\)
- (d)
\(3\over 25\)
Four persons are chosen ar random from a group of 3 men, 2 women and 4 children. The chance that exactly 2 of them are children, is :
- (a)
\(1\over 9\)
- (b)
\(1\over 5\)
- (c)
\(1\over 12\)
- (d)
\(10\over 21\)
A box contains 20 electric bulbs, our of which 4 are defective. Two bulbs are chosen ar random from this box. The probability that at least one of these is defective, is :
- (a)
\(4\over 19\)
- (b)
\(7\over 19\)
- (c)
\(12\over 19\)
- (d)
\(21\over 95\)
In a class, 30% of the students offered English, 20% offered Hindi and 10% offered both. If a student is selected at random, what is the probability that he has offered English or Hindi ?
- (a)
\(2\over 5\)
- (b)
\(3\over 4\)
- (c)
\(3\over 5\)
- (d)
\(3\over 10\)
Two dice are tossed, The probability that the total score is a prime number is :
- (a)
\(1\over 6\)
- (b)
\(5\over 12\)
- (c)
\(1\over 2\)
- (d)
\(7\over 9\)
A speaks truth in 75% cases and B in 80% of the cases. In what percentage of cases are they likely to contradict each other, narrating the same incident ?
- (a)
5%
- (b)
15%
- (c)
35%
- (d)
45%
A man and his wife appear in an interview for two vacancies in the same post. The probability of husband's selection is (1/7) and the probability of wife's selection is (1/5). What is the probability that only one of them is selected ?
- (a)
\(4\over 5\)
- (b)
\(2\over 7\)
- (c)
\(8\over 15\)
- (d)
\(4\over 7\)