Choose the correct alternative answer for each of the following question.
If n(A) = 2, P(A) = 1/5, then n(S) = ?
If n(A) = 2, P(A) = 1/5, then n(S) = ?
- ✓$10$
- B$\frac{5}{2}$
- C$\frac{2}{5}$
- D$\frac{1}{3}$
Answer: A.
View full solution →Question types
P-1 Probability question types
162 questions across 6 question groups — pick any mix to generate a Maths paper with step-by-step answer keys.
162
Questions
6
Question groups
5
Question types
01
M.C.Q (1 Marks)
20 Q→02Complete the following activities and rewrite it : (2M)
2 Q→032 Marks Questions
52 Q→043 Marks Question
36 Q→054 Marks Questions
26 Q→061 Marks Question
26 Q→Sample Questions
P-1 Probability questions
One sample from each question group in this chapter. Select any group above to see the full set with answer keys.
Choose the correct alternative answer for each of the following question.
There are 40 cards in a bag. Each bears a number from 1 to 40. One card is drawn at random. What is the probability that the card bears a number which is a multiple of 5?
There are 40 cards in a bag. Each bears a number from 1 to 40. One card is drawn at random. What is the probability that the card bears a number which is a multiple of 5?
- ✓$\frac{1}{5}$
- B$\frac{3}{5}$
- C$\frac{4}{5}$
- D$\frac{1}{3}$
Answer: A.
View full solution →Choose the correct alternative answer for each of the following question. What is the probability of the event that a number chosen from $1$ to $100$ is a prime number?
- A$\frac{1}{5}$
- ✓$\frac{6}{25}$
- C$\frac{1}{4}$
- D$\frac{13}{50}$
Answer: B.
View full solution →Choose the correct alternative answer for each of the following question.
A die is rolled. What is the probability that the number appearing on upper face is less than 3?
A die is rolled. What is the probability that the number appearing on upper face is less than 3?
- A$\frac{1}{6}$
- ✓$\frac{1}{3}$
- C$\frac{1}{2}$
- D$0$
Answer: B.
View full solution →Choose the correct alternative answer for each of the following question.
Which number cannot represent a probability?
A. 2/3
B. 1.5
C. 15%
D. 0.7
Which number cannot represent a probability?
A. 2/3
B. 1.5
C. 15%
D. 0.7
Form a ‘Road safety commitee’ of two, from 2 boys (B1, B2) and 2 girls(G1, G2). Complete the following activity to write the sample space.
(a) Committee of 2 boys = ⬜
(b) Committee of 2 girls = ⬜
(c) Committee of one boy and one girl = $B_1 G_1$, ⬜, ⬜, ⬜
∴ Sample space = {..., ..., ..., ..., ..., ...}
View full solution →(a) Committee of 2 boys = ⬜
(b) Committee of 2 girls = ⬜
(c) Committee of one boy and one girl = $B_1 G_1$, ⬜, ⬜, ⬜
∴ Sample space = {..., ..., ..., ..., ..., ...}
Joseph kept 26 cards in a cap, bearing one English alphabet on each card. One card is drawn at random. What is the probability that the card drawn is a vowel card?
In a hockey team there are 6 defenders , 4 offenders and 1 goalee. Out of these, one player is to be selected randomly as a captain. Find the probability of the selection that -
The goalee will be selected.
The goalee will be selected.
In a hockey team there are 6 defenders , 4 offenders and 1 goalee. Out of these, one player is to be selected randomly as a captain. Find the probability of the selection that -
A defender will be selected.
A defender will be selected.
Basketball players John, Vasim, Akash were practising the ball drop in the basket. The probabilities of success for John, Vasim and Akash are 4/5 0.83 and 58% respectively. Who had the greatest probability of success?
A card is drawn at random from a pack of well shuffled 52 playing cards. Find the probability that the card drawn is -
a spade.
a spade.
A balloon vendor has 2 red, 3 blue and 4 green balloons. He wants to choose one of them at random to give it to Pranali. What is the probability of the event that Pranali gets,
(1) a red balloon
(2) a blue balloon
(3) a green balloon.
(1) a red balloon
(2) a blue balloon
(3) a green balloon.
The faces of a die bear numbers 0, 1, 2, 3, 4, 5. If the die is rolled twice, then find the probability that the product of digits on the upper face is zero.
A two digit number is to be formed from the digits 0, 1, 2, 3, 4. Repetition of the digits is allowed. Find the probability that the number so formed is a -
(1) prime number
(2) multiple of 4
(3) multiple of 11.
(1) prime number
(2) multiple of 4
(3) multiple of 11.
Out of 200 students from a school, 135 like Kabbaddi and the remaining students do not like the game. If one student is selected at random from all the students, find the probability that the student selected dosen't like Kabbaddi.
Each card bears one letter from the word ‘mathematics’ The cards are placed on a table upside down. Find the probability that a card drawn bears the letter ‘m’.
There are six cards in a box, each bearing a number from 0 to 5. Find the probability of each of the following events, that a card drawn shows,
(1) a natural number.
(2) a number less than 1.
(3) a whole number.
(4) a number is greater than 5.
(1) a natural number.
(2) a number less than 1.
(3) a whole number.
(4) a number is greater than 5.
In a game of chance, a spinning arrow comes to rest at one of the numbers 1, 2, 3, 4, 5, 6, 7, 8.
All these are equally likely outcomes.
Find the probability that it will rest at
(1) 8.
(2) an odd number.
(3) a number greater than 2.
(4) a number less than 9.
All these are equally likely outcomes.
Find the probability that it will rest at
(1) 8.
(2) an odd number.
(3) a number greater than 2.
(4) a number less than 9.
Length and breadth of a rectangular garden are 77 m and 50 m. There is a circular lake in the garden having diameter 14 m. Due to wind, a towel from a terrace on a nearby building fell into the garden. Then find the probability of the event that it fell in the lake.
Two dice are rolled, write the sample space ‘S’ and number of sample points
n(S). Also write events and number of sample points in the event according to the
given condition.
(i) Sum of the digits on upper face is a prime number.
(ii) Sum of the digits on the upper face is multiple of 5.
(iii) Sum of the digits on the upper face is 25.
(iv) Digit on the upper face of the first die is less than the digit on the second die.
n(S). Also write events and number of sample points in the event according to the
given condition.
(i) Sum of the digits on upper face is a prime number.
(ii) Sum of the digits on the upper face is multiple of 5.
(iii) Sum of the digits on the upper face is 25.
(iv) Digit on the upper face of the first die is less than the digit on the second die.
A sanitation committee of 2 members is to be formed from 3 boys and
2 girls. Write sample space ‘S’ and number of sample points n(S). Also write
the following events in set form and number of sample points in the event.
(i) Condition for event A : at least one girl must be a member of the committee.
(ii) Condition for event B : Committee must be of one boy and one girl.
(iii) Condition for event C : Committee must be of boys only.
(iv) Condition for event D : At the most one girl should be a member of the committee.
2 girls. Write sample space ‘S’ and number of sample points n(S). Also write
the following events in set form and number of sample points in the event.
(i) Condition for event A : at least one girl must be a member of the committee.
(ii) Condition for event B : Committee must be of one boy and one girl.
(iii) Condition for event C : Committee must be of boys only.
(iv) Condition for event D : At the most one girl should be a member of the committee.
Form a ‘Road safety commitee’ of two, from 2 boys $\left(B_1, B_2\right)$ and 2 girls $\left(G_1, G_2\right)$. Complete the following activity to write the sample space.
(a) Committee of 2 boys = $\square
$
(b) Committee of 2 girls = $\square
$
(c) Committee of one boy and one girl =
∴ Sample space = {..., ..., ..., ..., ..., ...}
View full solution →(a) Committee of 2 boys = $\square
$
(b) Committee of 2 girls = $\square
$
(c) Committee of one boy and one girl =
∴ Sample space = {..., ..., ..., ..., ..., ...}
In the month of March 2019, find the days on which the date is a multiple of 5. (see the given page of the calendar)
The arrow is rotated and it stops randomly on the disc. Find out on which colour it may stop.
For the following experiment write sample space ‘S’ and number of sample points n(S).
Two digit numbers are formed using digits 2, 3 and 5 without repeating a digits.
Two digit numbers are formed using digits 2, 3 and 5 without repeating a digits.
One coin and one die are thrown simultaneously.
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