If two different dice are rolled together, the probability of getting an even number on both dice, is:
- A$\frac{1}{36}$
- B$\frac{1}{2}$
- C$\frac{1}{6}$
- ✓$\frac{1}{4}$
Answer: D.
View full solution →Question types
Probability question types
72 questions across 6 question groups — pick any mix to generate a Maths paper with step-by-step answer keys.
72
Questions
6
Question groups
5
Question types
01
M.C.Q (1 Marks)
41 Q→021 Marks Question
7 Q→032 Marks Questions
10 Q→043 Marks Question
8 Q→055 Marks Questions
5 Q→06Case study (4 Marks)
1 Q→Sample Questions
Probability questions
One sample from each question group in this chapter. Select any group above to see the full set with answer keys.
A number is selected at random from the numbers $1$ to $30 .$ The probability that it is a prime number is:
- A$\frac{2}{3}$
- B$\frac{1}{6}$
- ✓$\frac{1}{3}$
- D$\frac{11}{30}$
Answer: C.
View full solution →The probability that a number selected at random from the numbers $1,2,3, \ldots \ldots . ., 15$ is a multiple of $4 ,$ is
- A$\frac{4}{15}$
- B$\frac{2}{15}$
- ✓$\frac{1}{5}$
- D$\frac{1}{3}$
Answer: C.
View full solution →In a family of 3 children, the probability of having at least one boy is
- ✓$\frac{7}{8}$
- B$\frac{1}{8}$
- C$\frac{5}{8}$
- D$\frac{3}{4}$
Answer: A.
View full solution →A box contains dises, numbered from $1$ to $90 .$ If one disc is drawn at random from the box, the probability that it bears a prime$-$number less than $23 ,$ is:
- A$\frac{7}{90}$
- B$\frac{10}{90}$
- ✓$\frac{4}{45}$
- D$\frac{9}{89}$
Answer: C.
View full solution →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 $1 ?$
View full solution →Cards marked with number $3,4,5, \ldots ., 50$ are placed in a box and mixed thoroughly. A card is drawn at random from the box. Find the probability that the selected card bears a perfect square number.
View full solution →A card is drawn at random from a well shuffled pack of $52$ playing cards. Find the probability of getting neither a red card nor a queen.
View full solution →What is the probability that a randomly taken leap year has 52 Sundays?
If a number x is chosen at random from the numbers $-3,-2,-1,0,1,2,3$, then find the probability of $x^2<4$.
View full solution →The probability of selecting a rotten apple randomly from a heap of $900$ apples is $0.18$ . What is the number of rotten apples in the heap?
View full solution →Two different dice are tossed together. Find the probability
$(i)$ That the number on each die is even.
$(ii)$ That the sum of numbers appearing on the two dice is $5 .$
View full solution →$(i)$ That the number on each die is even.
$(ii)$ That the sum of numbers appearing on the two dice is $5 .$
Rahim, tosses two different coins simultaneously. Find the probability of getting at least one tail.
A card is drawn at random from a well shuffled pack of 52 playing cards. Find the probability that the drawn card is neither a king nor a queen.
A card is drawn at random from a well-shuffled pack of cards. Find the probability of getting
(i) A red king
(ii) A queen or a jack
(i) A red king
(ii) A queen or a jack
Two different dice are thrown together. Find the probability that the numbers obtained
$(i)$ have a sum less than $7$
$(ii)$ have a product less than $16$
$(iii)$ is a doublet of odd numbers.
View full solution →$(i)$ have a sum less than $7$
$(ii)$ have a product less than $16$
$(iii)$ is a doublet of odd numbers.
A bag contains $15$ white and some black balls. If the probability of drawing a black ball from the bag is thrice that of drawing a white ball, find the number of black balls in the bag.
View full solution →In a single throw of a pair of different dice, what is the probability of getting $(i)$ a prime number on each dice? $(ii)$ a total of $9$ or $11$ ?
View full solution →Three different coins are tossed together. Find the probability of getting
(i) Exactly two heads
(ii) At least two heads
(iii) at least two tails
(i) Exactly two heads
(ii) At least two heads
(iii) at least two tails
All kings, queens and aces are removed from a pack of 52 cards. The remaining cards are well shuffled and then a card is drawn from it. Find the probability that the drawn card is
(i) A black face card
(ii) A red card
(i) A black face card
(ii) A red card
Peter throws two different dice together and finds the product of the two numbers as 25. Rina throws a die and squares the number obtained. Who has the better chance to get the number
Two different dice are thrown together. Find the probability that the numbers obtained have
(i) Even sum, and
(ii) Even product.
(i) Even sum, and
(ii) Even product.
A bag contains cards numbered from 1 to 49. A card is drawn from the bag at random, after mixing the cards thoroughly. Find the probability that the number on the drawn card is:
(i) an odd number
(ii) a multiple of 5
(iii) a perfect square
(iv) an even prime number
(i) an odd number
(ii) a multiple of 5
(iii) a perfect square
(iv) an even prime number
Red queens and black jacks are removed from a pack of playing cards. A card is drawn at random from the remaining cards, after reshuffling them. Find the probability that the drawn card is
(i) a king
(ii) of red colour
(iii) a face card
(iv) a queen
(i) a king
(ii) of red colour
(iii) a face card
(iv) a queen
A group consists of 12 persons, of which 3 are extremely patient, other 6 are extremely honest and rest are extremely kind. A person from the group is selected at random. Assuming that each person is equally likely to be selected, find the probability of selecting a person who is
(i) extremely patient
(ii) extremely kind or honest.
Which of the above values you prefer more?
(i) extremely patient
(ii) extremely kind or honest.
Which of the above values you prefer more?
"Eight Ball" is a game played on a pool table with $15$ balls numbered $1$ to $15$ and $a$ "cue ball" that is solid and white. Of the $15$ numbered balls, eight are solid $($non$-$white$)$ coloured and numbered $1$ to $8$ and seven are striped balls numbered $9$ to $15.$
The $15$ numbered pool balls $($no cue ball$)$ are placed in a large bowl and mixed, then one ball is drawn out at random.
Based on the above information, answer the following questions:
$(i)$ What is the probability that the drawn ball bears number $8$?
$(ii)$ What is the probability that the drawn ball bears an even number?
OR
What is the probability that the drawn ball bears a number, which is a multiple of $3$ ?
$(iii)$ What is the probability that the drawn ball is a solid coloured and bears an even number?
View full solution →The $15$ numbered pool balls $($no cue ball$)$ are placed in a large bowl and mixed, then one ball is drawn out at random.
Based on the above information, answer the following questions:
$(i)$ What is the probability that the drawn ball bears number $8$?
$(ii)$ What is the probability that the drawn ball bears an even number?
OR
What is the probability that the drawn ball bears a number, which is a multiple of $3$ ?
$(iii)$ What is the probability that the drawn ball is a solid coloured and bears an even number?
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