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An unbiased die is thrown once. The probability of getting a prime number is
Number of possible outcomes = {2, 3, 5} = 3
Number of Total outcomes = 6
∴ Probability of getting a prime number = 3/6 = 1/2
The probability that a non leap year will have 53 Fridays and 53 Saturdays is
A number is selected at random from 1 to 75. The probability that it is a perfect square is
Number of possible outcomes = {1, 4, 9, 16, 25, 36, 49, 64} = 8
Number of Total outcomes = 75
∴ Probability of getting a perfect square = 8/75
Ram and Shyam are friends. The probability that both will have the same birth day is
Ignoring a leap year, both Ram and Shyam can have any day of the year as their birthday.
∴ Total number of possible ways in which their birthday can fall =
Also they can share the same birthday falls on same date = 365
∴ Required Probability
Which of the following can not be the probability of an event?
17/16 cannot be the probability of an event because probability of an event cannot be greater than 1.
A die is thrown once. The probability of getting an even number and a multiple of 3 is
Number of possible outcomes = {6} = 1
Number of Total outcomes = 6
∴ Required Probability = 1/6
The probability of selecting a queen of diamonds when a card is drawn from well shuffled pack of 52 cards is
Number of possible outcomes (queen of diamonds) = 1
Number of Total outcomes = 52
Required Probability = 1/52
A piggy bank contains 100 fifty paise coins, 50 one rupee coins, 20 two rupee coins and 10 five rupee coins. One coin is drawn at random. The probability that the coin drawn will not be a five rupee coin is
Number of total coins = 100 + 50 + 20 + 10 = 180
Number of coins except five rupee coins = 180 – 10 = 170
∴ Required Probability = 170/180 = 17/18
A letter of English alphabets is chosen at random. The probability that the letter is consonant
Number of consonants = 21
Number of total outcomes = 26
∴ Required Probability = 21/26
If the probability of an event is ‘p’, the probability of its complementary event will be
If the probability of an event is pp, the probability of its complementary event will be 1−p.
When a die is thrown, the probability of getting an odd number less than 3 is
Number of possible outcomes = {1} = 1
Number of Total outcomes = 6
∴ Required Probability = 1/6
A card is drawn from a pack of 52 cards at random. The probability of getting neither an ace nor a king card is
Number of Total outcomes = 52
Number of aces and Number of kings = 4 + 4 = 8
Number of cards except ace and king = 52 – 8 = 44
Required Probability = 44/52 = 11/13
The probability that a non leap year selected at random will have 53 Sundays is
Nonleap year contains 365 days = 52 weeks + 1 days
52 weeks contain 52 Sundays
We will get 53 Sundays if one Sunday will come in a week.
Number of Total possible outcomes = 7
Number of possible outcomes = 1
∴ Required Probability = 1/7
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
Number of multiples of 3 = 8
Number of multiples of 5 = 5
Number of possible outcomes = 8 + 5 = 13
Number of Total outcomes = 25
∴ Required Probability = 13/25
A child’s game has 8 triangles of which 5 are blue and rest are red and 10 squares of which 6 are blue and the rest are red. One piece is lost at random. The probability that it is a square of blue colour is
Number of possible outcomes = 6
Number of total outcomes = 8 + 10 = 18
∴ Required Probability = 6/18 = 1/3
A number is selected at random from the numbers 7, 3, 9, 7, 9, 5, 7, 9, 9, 5. The probability that the selected number is their average is
Average of given numbers
Number of outcomes = 3
Number of total outcomes = 10
∴ Required Probability = 3/10
A card is drawn from a pack of 52 cards at random. The probability of getting either an ace or a king card is
Number of Total outcomes = 52
Number of aces and Number of kings = 4 + 4 = 8
Required Probability = 8/52 = 2/13
There are 20 boys and 15 girls in a class. A student is chosen as leader at random. The probability that the leader is a boy is
Number of possible outcomes = 20
Number of Total outcomes = 20 + 15 = 35
∴ Required Probability = 20/35 = 4/7
A letter of English alphabets is chosen at random. The probability that the letter chosen is a vowel is
Number of consonants = 5
Number of total outcomes = 26
∴ Required Probability = 5/26
A bag contains 50 balls of which 2x are red, 3x are white and 5x are blue. A ball is selected at random. The probability that it is not white is
Here
2x + 3x + 5x = 50 = ⇒ 10x = 50 ⇒ x = 5
Number of red balls = 2 x 5 = 10
Number of white balls = 3 x 5 = 15
Number of blue balls = 5 x 5 = 25
Now, Number of possible outcomes = 25 + 10 = 35
And Number of total outcomes = 50
∴ Required Probability = 35/50 = 7/10
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
Number of outcomes = 2
Number of total outcomes = 3 + 2 + 4 = 9
∴ Required Probability = 2/9
The probability of a sure event is always 1.
From a well shuffled pack of 52 cards, one card is drawn at random. The probability of getting a black king is
Number of possible outcomes = 2
Number of Total outcomes = 52
∴ Required Probability = 2/52 = 1/26
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 and 5 is
Correct Answer : a
Explanation : Multiple of 3 : 3,6,9,12,15,18,21,24
Multiple of 5 : 5,10,15,20,25
Number of possible outcomes (multiple of 3 and 5) = {15} = 1
Number of Total outcomes = 25
∴ Required Probability = 1/25
The probability of guessing the correct answer to certain text questions is x / 12. If the probability of not guessing the answer is 5/8, then the value of x is
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