CBSE Class 10 Mathematics Probability MCQs

Question. Find the probability that the month of April has exactly 5 Monday is
(a) 4/7
(b) 5/7
(c) 3/7
(d) 2/7
Answer : D

Question. A bag contains three green marbles, four blue marbles & two orange marbles. One marble is picked at random, then the probability that it is not an orange marble is
(a) 1/4
(b) 1/3
(c) 4/9
(d) 7/9
Answer : D

Question. A die is thrown once. What is the probability of getting a number greater than 4?
(a) 1/2
(b) 1/3
(c) 1/4
(d) 1/5
Answer : B

Question. A ticket is drawn at random from a bag containing tickets numbered from 1 to 40. The probability that the selected ticket has a number which is a multiple of 5 is
(a) 1/5
(b) 3/5
(c) 4/5
(d) 1
Answer : A

Question. If P (E) = 0.05 , then the probability of P (not E) is
(a) 0.85
(b) 0.75
(c) 0.25
(d) 0.95
Answer : D

Question. A letter of English alphabet is chosen at random. The probability that the chosen letter is a consonant is
(a) 21/26
(b) 5/26
(c) 2/25
(d) None of these
Answer : A

Question. A number is chosen at random from the numbers −3, −2, −1, 0, 1, 2, 3. What will be the probability that square of this number is less than or equal to 1?
(a) 3/7
(b) 4/7
(c) 5/7
(d) 6/7
Answer : A

Question. Someone is asked to take a number from 1 to 100. The probability that it is a prime is
(a) 1/5
(b) 6/25
(c) 1/4
(d) 13/15
Answer : C

Question. In a single throw of a die , the probability of getting a multiple of 3 is
(a) 1/2
(b) 1/3
(c) 1/6
(d) 2/3
Answer : B

Question. A card is drawn from a deck of 52 cards. The event E is that card is not an ace of hearts. The number of outcomes favourable to E is
(a) 4
(b) 13
(c) 48
(d) 51
Answer : D

Question. A coin is tossed two times. Find the probability of getting at least one head is
(a) 1/4
(b) 3/4
(c) 1/8
(d) 3/8
Answer : B

Question. The probability that a non – leap year has 53 Sundays is
(a) 2/7
(b) 5/7
(c) 6/7
(d) 1/7
Answer : D

Question. Which of the following cannot be the probability of an event?
(a) 1.5
(b) 3/5
(c) 25%
(d) 0.3
Answer : A

Question. A card is drawn from a well shuffled deck of 52 cards. Find the probability of getting an ace.
(a) 1/13
(b) 4/13
(c) 1/52
(d) 4/13
Answer : A

Question. When a die is thrown, the probability of getting an odd number less than 3 is
(a) 1/6
(b) 1/3
(c) 1/2
(d) 0
Answer : A

Question. The probability of guessing the correct answer to a certain test is p/12 . If the probability of not guessing the correct answer to this question is 3/1 , then the value of p is
(a) 2
(b) 4
(c) 6
(d) 8
Answer : D

Question. There are 6 marbles in a box with number 1 to6 marked on each of them.
What is the probability of drawing a marble with number 2 ?
(a) 1/6
(b) 1/5
(c) 1/3
(d) 1
Answer : A

Question. A bag has 4 red balls and 2 yellow balls. A ball is drawn from the bag without looking into the bag. What is probability of getting a red ball?
(a) 1/6
(b) 2/3
(c) 1/3
(d) 1
Answer : B

Case Study 1:

TERM INSURANCE PLAN
A particular term insurance company has two options in the application form before issuing the policy – Smoker or Non-smoker. As a smoker has more chance of getting lung disease and death chance is comparatively higher. So premium payment is more for a smoking person. Company gives a rider plan (i.e. for some critical diseases) along with normal term plan by paying some extra premium money. In a certain time period, company issues 100 policies of which 30% are for smokers and rest for non-smoker customers. Also, half the smokers and 2/5 th of non – smoking customers have purchased a rider plan along with a normal plan.'

On the basis of above information give the answers of the following questions:

Q1) Find the probability that company issues policy for a smoker with rider plan.
Answer : 15/100)

Q2) Find the probability that company issues policy for a non- smoker without a rider plan.
Answer : 21/50)

Q3) Find the probability that company issues policy for a smoker without a rider plan.
Answer : 15/100)

Q4) Find the probability that company issues policy for a non-smoker with rider plan.
Answer : 7/25)

Case Study 2:

Piggy bank or Money box( a coin container) is normally used by children. Piggy bank serves as a pedagogical device to teach about saving money to children. Generally, piggy banks have openings besides the slot for inserting coins but some do not have openings. We have to smash the piggy bank with a hammer or by other means, to get the money inside it.

A child Shreya has a Piggybank. She saves her money in her Piggybank. One day she found that her Piggybank contains hundred 50 paisa coins, fifty 1 rupees coin, twenty 2 rupees coin, and ten 5 rupees coins. If it is equally likely that one of the coins will fall out when the bank is turned upside down.
Based on the above information, answer the following questions.

(a) The probability that the fallen coin will be 50 paisa coin, is -------
Answer : 5/9)

(b) The probability that the fallen coin will be 5 rupees coin, is---------
Answer : 1/18)

(c) The probability that the fallen coin will be 2 rupees coin, is---------
Answer : 1/9)

(d) The probability that the fallen coin will be 2 rupees coin or 5 rupees coin, is--------
Answer : 1/6)

Question : There are 6 marbles in a box with number 1 to6 marked on each of them . What is the probability of drawing a marble with number 2 ?
(a) 1/ 6
(b) 1 /5
(c) 1/ 3
(d) 1

Question : A coin is flipped to decide which team starts the game . What is the probability of your team will start ?
(a) 1/ 4
(b) 1 /2
(c) 1
(d) 0

Question : A die is thrown once . What will be the probability of getting a prime number ?
(a) 1 /6
(b) 1 /2
(c) 1
(d) 0

Cards are marked with numbers 1 to 25 are placed in the box and mixed thoroughly. One card is drawn at random from the box. Answer the following questions (Q4-Q13)

Question : What is the probability of getting a number 5?
(a) 1
(b) 0
(c) 1/ 25
(d) 1 /5

Question : What is the probability of getting a number less than 11?
(a) 1
(b) 0
(c) 1 /5
(d) 2/ 5

Question : What is the probability of getting a number greater than 25?
(a) 1
(b) 0
(c) 1 /5
(d) 2 /5

Question : What is the probability of getting a multiple of 5?
(a) 1
(b) 0
(c) 1/ 25
(d) 1 /5

Question : What is the probability of getting an even number?
(a) 1
(b) 0
(c) 12/ 25
(d) 13 /25

Question : What is the probability of getting an odd number?
(a) 1
(b) 0
(c) 12/ 25
(d) 13 /25

Question : What is the probability of getting a prime number?
(a) 8/ 25
(b) 9/ 25
(c) 12/ 25
(d) 13/ 25

♦ A box contains 3 blue, 2 white, and 5 red marbles. If a marble is drawn at random from the box, then answer the questions from 1 to 5.

Question : What is the probability that the marble will be white?
(a) 1/ 6
(b) 1 /5
(c) 1 /3
(d) 1

Question : What is the probability that the marble will be red?
(a) 1 /6
(b) 1 /2
(c) 1
(d) 0

Question : What is the probability that the marble will be blue?
(a) 3/ 10
(b) 1 2
(c/) 1
(d) 0

Question : What is the probability that the marble will be any one colour?
(a) 1 /6
(b) 1/ 2
(c) 1
(d) 0

Question : What is the probability that the marble will be red or blue?
(a) 1
(b) 4 /5
(c) 1 /5
(d) 2 /5

♦ A die is thrown once, then answer the questions from 6 to 10.

Question : Find the probability of getting a prime number
(a) 1/ 6
(b) 1 /2
(c) 1
(d) 0

Question : Find the probability of getting a number lying between 2 and 6
(a) 1/ 6
(b) 1 /2
(c) 1
(d) 0

Question : Find the probability of getting an odd number.
(a) 1 /6
(b) 1/ 2
(c) 1
(d) 0

Question : Find the probability of getting an even number.
(a) 1/ 6
(b) 1 /2
(c) 1
(d) 0

Question : Find the probability of getting a number greater than 4.
(a) 1/ 6
(b) 2 /3
(c) 1 /3
(d) 1

Question : What is the probability that the marble will be white?
(a) 1/ 6
(b) 2 /3
(c) 1 /3
(d) 1

Question : What is the probability that the marble will be red?
(a) 1 /6
(b) 2/ 3
(c) 1/ 3
(d) 1

Question : What is the probability that the marble will be green?
(a) 0.3
(b) 1 /2
(c) 1
(d) none of these

Question : What is the probability that the marble will be any one colour?
(a) 1/ 6
(b) 1 /2
(c) 1
(d) 0

Question : What is the probability that the marble will be red or green?
(a) 2 /5
(b) 3 /25
(c) 1/ 5
(d) none of these

Question : What is the probability that the marble will be blue?
(a) 1 /6
(b) 1/ 2
(c) 1
(d) 0

♦ Cards are marked with numbers 1 to 50 are placed in the box and mixed thoroughly. One card is drawn at random from the box. Answer the following questions from 7 to 15.

Question : What is the probability of getting a number 5?
(a) 1
(b) 0
(c) 1 /25
(d) 1/ 5

Question : What is the probability of getting a number less than 11?
(a) 1
(b) 0
(c) 1 /5
(d) 2/ 5

Question : What is the probability of getting a number greater than 50?
(a) 1
(b) 0
(c) 1/ 5
(d) 2/ 5

Question : What is the probability of getting a multiple of 5?
(a) 1
(b) 0
(c) 1 /25
(d) 1/ 5

Question : Find the probability of getting a king of red colour
(a) 1 /26
(b) 2/ 13
(c) 1 /13
(d) 3/ 26

Question : Find the probability of getting a face card.
(a) 1/ 26
(b) 2/ 13
(c) 1/13
(d) 3 /13

Question : Find the probability of getting a black face card
(a) 1 /26
(b) 2/ 13
(c) 1 /13
(d) 3/ 26

Question : Find the probability of getting an ace.
(a) 1/26
(b) 2/ 13
(c) 1/ 13
(d) 3 /26

Question : Find the probability of getting a black card.
(a) 1/ 2
(b) 2 /13
(c) 1 /13
(d) 3/ 26

Question : Find the probability of getting a face card or an ace.
(a) 4 /13
(b) 2 /13
(c) 1 /13
(d) 3/ 13

Question : Find the probability of getting face card or black card.
(a) 4 /13
(b) 8/ 13
(c) 7/ 13
(d) 3/ 13

Question : Find the probability of getting a king or red card.
(a) 4 /13
(b) 8 /13
(c) 7 /13
(d) 3/ 13

Question : Find the probability of getting a king and red card.
(a) 1 /26
(b) 2 /13
(c) 1/ 13
(d) 3 /26

Question : Find the probability of getting a king or queen card.
(a) 1 /26
(b) 2 /13
(c) 1 /13
(d) 3/ 26