Chapter 15 – Probability – Ankit Enterprises

If a die is thrown once, the probability of getting a prime number is

(a) (64& \(\frac{1}{4}\))
(b) (64& \(\frac{1}{2}\))
(c) (64& \(\frac{1}{5}\))
(d) (64& \(\frac{1}{3}\))

Cards each marked with one of the numbers 4, 5, 6 …20 are put in a box and mixed thoroughly. One card is drawn at random from the box. The probability of getting an even prime number is

(a) 0
(b) (64& \(\frac{1}{20}\))
(c) 1
(d) (64& \(\frac{1}{2}\))

A fair die is cast in the game of ‘Ludo’. The probability of getting a score greater than 6 is

(a) 1
(b) (64& \(\frac{1}{6}\))
(c) zero
(d) (64& \(\frac{2}{3}\))

The probability that a non leap year selected at random will contain 53 Sunday’s is

(a) (64& \(\frac{1}{7}\))
(b) (64& \(\frac{2}{7}\))
(c) (64& \(\frac{3}{7}\))
(d) (64& \(\frac{5}{7}\))

A bag contains cards which are numbered from 2 to 90. A card is drawn at random from the bag. The probability that it bears a two digit number is:

(a) (64& \(\frac{88}{9}\))
(b) (64& \(\frac{88}{9}\))
(c) (64& \(\frac{81}{8}\))
(d) (64& \(\frac{89}{9}\))

The probability of getting one head is

(a) (64& \(\frac{1}{2}\))
(b) (64& \(\frac{1}{4}\))
(c) (64& \(\frac{3}{4}\))
(d) None of these

A number is selected at random from 1 to 75. The probability that it is a perfect square is

(a) (64& \(\frac{4}{45}\))
(b) (64& \(\frac{10}{7}\))
(c) (64& \(\frac{6}{75}\))
(d) (64& \(\frac{8}{75}\))

Three face cards of spade are removed from a well shuffled pack of 52 cards and a card is drawn from the remaining pack. The probability of getting a black face card is

(a) (64& \(\frac{12}{50}\))
(b) (64& \(\frac{7}{49}\))
(c) (64& \(\frac{3}{49}\))
(d) (64& \(\frac{9}{50}\))

Ram and Shyam are friends. The probability that both will have the same birth day is

(a) (64& \(\frac{1}{365}\))
(b) (64& \(\frac{2}{365}\))
(c) (64& \(\frac{364}{365}\))
(d) none of these

Find the probability of getting a number greater than 2 when a die is thrown

(a) (64& \(\frac{1}{6}\))
(b) (64& \(\frac{2}{6}\))
(c) (64& \(\frac{4}{6}\))
(d) (64& \(\frac{2}{3}\))

If the probability of winning a game is 0.3, the probability of losing it is

(a) 1.3
(b) 1
(c) 0.7
(d) 0.1

The total number of events of throwing 10 coins simultaneously is

(a) 1024
(b) 512
(c) 100
(d) 10

Two fair coins are tossed simultaneously. Find the probability of Getting only one head

(a) \(\frac { 3 }{ 4 }\)
(b) \(\frac { 1 }{ 3 }\)
(c) \(\frac { 2 }{ 3 }\)
(d) \(\frac { 1 }{ 4 }\)

A card is drawn from a pack of 52 cards at random. The probability of getting neither an ace nor a king card is

(a) \(\frac { 2 }{ 13 }\)
(b) \(\frac { 8 }{ 13 }\)
(c) \(\frac { 4 }{ 13 }\)
(d) \(\frac { 11 }{ 13 }\)

A box contains 3 blue balls, 2 white balls and 4 red balls. If a ball is drawn at random from the box, the probability of getting a white ball is

(a) \(\frac { 3 }{ 9 }\)
(b) \(\frac { 4 }{ 9 }\)
(c) \(\frac { 2 }{ 9 }\)
(d) 1

In a throw of a die, the probability of getting a prime number is

(a) \(\frac { 1 }{ 2 }\)
(b) 6
(c) \(\frac { 3 }{ 4 }\)
(d) \(\frac { 3 }{ 2 }\)

A card is drawn from a pack of 52 cards at random. The probability of getting either an ace or a king card is

(a) \(\frac { 4 }{ 13 }\)
(b) \(\frac { 8 }{ 13 }\)
(c) \(\frac { 3 }{ 13 }\)
(d) \(\frac { 2 }{ 13 }\)

Three unbiased coins are tossed. What is the probability of getting at most two heads?

(a) \(\frac { 7 }{ 8 }\)
(b) \(\frac { 3 }{ 8 }\)
(c) \(\frac { 1 }{ 4 }\)
(d) \(\frac { 3 }{ 7 }\)

Cards marked with numbers 1, 2, 3, ……….., 25 are placed in a box and mixed thoroughly and one card is drawn at random from the box. The probability that the number on the card is a multiple of 3 or 5 is

(a) \(\frac { 8 }{ 25 }\)
(b) \(\frac { 13 }{ 25 }\)
(c) \(\frac { 4 }{ 25 }\)
(d) \(\frac { 3 }{ 5 }\)

An urn contains lottery tickets numbered from 1 to 100. If a ticket is selected at random, then the probability that it is a perfect square is

(a) 0.1
(b) 0.08
(c) 0.09
(d) 0.01

The probability of getting a prime number in single throw of a dice is:

(a) Zero
(b) \(\frac { 1 }{ 2 }\)
(c) \(\frac { 1 }{ 4 }\)
(d) \(\frac { 1 }{ 3 }\)

Which of the following can not be the probability of an event?

(a) 0.1
(b) \(\frac { 1 }{ 3 }\)
(c) \(\frac { 17 }{ 16 }\)
(d) 5%

If an event cannot occur, then its probability is

(a) 1
(b) \(\frac { 3 }{ 4 }\)
(c) \(\frac { 1 }{ 2 }\)
(d) 0

An unbiased die is thrown once. The probability of getting a prime number is

(a) \(\frac { 1 }{ 3 }\)
(b) \(\frac { 1 }{ 4 }\)
(c) \(\frac { 1 }{ 2 }\)
(d) \(\frac { 1 }{ 5 }\)

Which of the following cannot be the probability of an event?

(a) 0.7
(b) 23
(c) -1.5
(d) 15%

If the probability of an event is p, then the probability of its complementary event will be

(a) p – 1
(b) p
(c) 1 – p
(d) 1−1p

Out of one digit prime numbers, one selecting an even number is

(a) 12
(b) 14
(c) 49
(d) 25

Out of vowels, of the English alphabet, one letter is selected at random. The probability of selecting ‘e’ is

(a) 126
(b) 526
(c) 14
(d) 15

When a die is thrown, the probability of getting an odd number less than 3 is

(a) 16
(b) 13
(c) 12
(d) 0

A fair die is thrown once. The probability of getting an even prime number is

(a) \(\frac{1}{6}\)
(b) \(\frac{2}{3}\)
(c) \(\frac{1}{3}\)
(d) \(\frac{1}{2}\)

Chapter 15 – Probability

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