CBSE Class 10 Mathematics Probability VBQs Set A

Very Short Answer type Questions

Question. A coin & a die are tossed simultaneously. Find the probability that a tail & a prime number turns up
Answer : 1/4

Question. Two players, Sangeeta and Reshma, play a tennis match. It is known that the probability of Sangeeta’s winning the match is 0.62. What is the probability of Reshma’s winning the match?
Answer : 0.38

Question. A letter is chosen at random from the letters of the word “ ASSASSINATION”, then the probability that the letter chosen is a vowel is in the form of 62 𝑥 +1 ,if so find the value of x
Answer : 6

Question. A letter of English alphabet is chosen at random. Determine the probability that the chosen letter is a vowel
Answer : 5/26

Question. A bag contains 12 balls out of which x are white. (i) If one ball is drawn at random, what is the probability that it will be a white ball? (ii) If 6 more white balls are put in the bag, the probability of drawing a white ball will be double that in case (i). Find x.
Answer : 1/4, 3

Question. A box contains cards bearing numbers 6 to 70 . If one card is drawn at random from the box ,find the probability that it bears
(i) a one digit number
(ii) a number divisible by 5.
Answer : 4/65 (ii) 1/5

Question. A number is selected at random from the numbers 3 ,5 , 5 , 7 , 7 ,7 , 9 , 9 , 9, 9, . Find the probability that the selected number is their average.
Answer : 3/10

Question. A card is drawn from a well – shuffled pack of 52 cards. Find the probability that the card drawn is neither a red card nor a queen
Answer : 6/13

Question. A box contains 20 cards numbered from 1 to 20 . A card drawn at random from the box. Find the probability that the card drawn at random is divisible by 2 or 3
Answer : 13/20

Question. Two different dice are tossed together. Find the probability
(i) of getting a doublet
(ii) of getting a sum 10 , on the two dice.
Answer : 1/6 (ii) 1/12

Question. Two dices are rolled once. Find the probability of getting such numbers on the two dice, whose product is 12
Answer : 1/9

Question. All cards of ace , jack and queen are removed from a deck of playing cards. One card is drawn at random from the remaining cards. Find the probability that the card drawn is
(i) a face card
(ii) a black king
Answer : 1/10 (ii) 1/20

Question. In a class discussion, Himanshu says that the probability of an event can't be –1.3. He shows
(a) Truth value (b) Economical value
(c) Leadership (d) Environmental value
Answer : Truth value.

Question. P(E) + P(E) = 1
The statement depicts ____________ value
Answer : Righteous value.

Question. E be an event associated with a random experiment and 0 ≤ P(E) ≤ x . Find the max value of x ? Which value is depicted by this statement?
Answer : 1, Righteous value.

Question. If  E₁ , E₂ , E₃ are the possible elementary events of a random experiment and Which value is depicted by this? 

Answer : Righteous value.

Question. A selection committee interviewed some people for the post of Sales Manager.The committee wanted that the female candidates should also be given the fair chance. So they called male and female candidates in 3:4 ratio.
a. What is the probability of a female candidate being selected?
b. Which value is shown by the selection committee?
Answer : (a) 4/7    (b) Gender equlaity.

Question. 12 defective ball pens are accidentally mixed with 156 good one. It is not possible to just look at pen and tell whether or not it is defective. The shopkeeper draws one pen at random.
a. Determine the probability that the pen taken out is a good one.
b. Suppose the pen drawn is defective. The shopkeeper did not sell out and kept the pen aside. He again draws one more pen at random from the rest. What is the probability that pen is not defective.
c. Which value is shown by the shopkeeper?
Answer : (a)  13/14   (b)   156/167  (c) Honesty

Question. During Van Mahotsav a group of students, planted a number of plants in 20 houses of a locality.

a. What is the probability of houses who has plants ≤ 8?
b. Which value is depicted by students?
Answer : (a) 9/20    (b) Environmental value

Question. Ramesh has got ` 24000/- as Puja Bonus. He donated ` 5000/- to temple. He gave ` 12000/- to his wife, ` 2000/- to his servant and gave rest of the amount to his daughter.
a. What is the probability of wife's share?
b. Calculate the probability of servant's share?
c. What is the probability of daughter's share?
d. Which value are depicted by Ramesh from the way the amount is distributed?
Answer : (a)  1/2   (b)  1/12   (c)  5/ 24 (d) Social value, religious value.

Question. Due to some default in the engine of a helicopter, a pilot has to make an emergency landing in an area as shown in the given figure.

a. What is the probability of safe landing?
b. What is the probability of landing in jungle?
c. Due to bigger area, the pilot decided to land on safe land A rather than safe land B. Which value is shown by the pilot?
Answer : (a)  (6 + ∏) /54   (b)  ( 48 - ∏ )54  (c) Leadership

Question. In a co-operative society, 60 people go to same office. They all use their conveyance. 10 people use their scooters, 10 go by their cars and the rest use their motorcycles.
a. What is the probability of people going by motorcycle?
b. One day they all decided to go by cars but a car can accommodate only 5 people. What is the probability of people going by car now?
c. What is the probability of people not going by cars now?
d. Which value is shown in 'b'?
Answer : (a)  2/3    (b)  5/6   (c)  1/6

Question. 240 students reside in a Hostel. Out of which 50% go for the yoga classes early in the morning 25% have joined the Gym club and 15% of them go for the morning walk. Rest of the students have joined the laughing club.
a. What is the probability of students who have joined the laughing club?
b. What is the probability of students who have not joined any class or club?
c. Which value is depicted by students?
Answer : (a) 1/10     (b)  3/20    (c) Physical Fitness