In a match between A and B: the probability of losing the match is 0.49 for B. What is the probability of winning of A?
Question types
Probability question types
430 questions across 7 question groups — pick any mix to generate a Mathematics paper with step-by-step answer keys.
430
Questions
7
Question groups
5
Question types
01
[1 Mark Question Answer]
49 Q→02[2 Mark Question Answer]
232 Q→03[3 marks sum]
89 Q→04[5 marks sum]
8 Q→05[4 marks sum]
8 Q→06MCQ
41 Q→07Assertion (A) & Reason (B) MCQ
3 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.
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In a match between A and B: the probability of winning of A is 0.83. What is the probability of winning of B?
From a well shuffled deck of 52 cards, one card is drawn. Find the probability that the card drawn is: a card with number between 2 and 9
From a well shuffled deck of 52 cards, one card is drawn. Find the probability that the card drawn is a card with number less than 8
From a well shuffled deck of 52 cards, one card is drawn. Find the probability that the card drawn is: a card with number 5 or 6
A box contains 7 red balls, 8 green balls and 5 white balls. A ball is drawn at random from the box. Find the probability that the ball is: neither red nor white.
A box contains 7 red balls, 8 green balls and 5 white balls. A ball is drawn at random from the box. Find the probability that the ball is: white
A man tosses two different coins (one of Rs 2 and another of Rs 5) simultaneously. What is the probability that he gets: at most one head?
A man tosses two different coins (one of Rs 2 and another of Rs 5) simultaneously. What is the probability that he gets: at least one head?
A and B are friends. Ignoring the leap year, find the probability that both friends will have: the same birthday?
In a musical chairs game, a person has been advised to stop playing the music at any time within 40 seconds after its start. What is the probability that the music will stop within the first 15 seconds?
All the three face cards of spades are removed from a well shuffled pack of 52 cards. A card is then drawn at random from the remaining pack. Find the probability of getting : a black card
All the three face cards of spades are removed from a well shuffled pack of 52 cards. A card is then drawn at random from the remaining pack. Find the probability of getting : a queen.
All the three face cards of spades are removed from a well shuffled pack of 52 cards. A card is then drawn at random from the remaining pack. Find the probability of getting : a black face card
A box contains a certain number of balls. On each of $60\%$ balls, letter A is marked. On each of $30\%$ balls, letter B is marked and on each of remaining balls, letter C is marked. A ball is drawn from the box at random. Find the probability that the ball drawn is :
i. marked C
ii. A or B
iii. neither B nor C
View full solution →i. marked C
ii. A or B
iii. neither B nor C
A box contains some black balls and $30$ white balls. If the probability of drawing a black ball is two-fifths of a white ball, find the number of black balls in the box.
View full solution →A box contains a certain number of balls. On each of $60\%$ balls, letter $A$ is marked. On each of $30\%$ balls, letter $B$ is marked and on each of remaining balls, letter $C$ is marked. A ball is drawn from the box at random. Find the probability that the ball drawn is:
$i$. marked $C$
$ii. A$ or $B$
$iii$. neither $B$ nor $C$
View full solution →$i$. marked $C$
$ii. A$ or $B$
$iii$. neither $B$ nor $C$
Sixteen cards are labelled as a, b, c, ……………. m, n, o, p. They are put in a box and shuffled.a boy is asked to draw a card from the box. What is the probability that the card drawn is:
(1) a vowel
(2) a consonant
(3) none of the letters of the word media
(1) a vowel
(2) a consonant
(3) none of the letters of the word media
The die is thrown once. What is the probability of getting A box contains some black balls and $30$ white balls. If the probability of drawing a black ball is two$-$fifths of a white ball, find the number of black balls in the box.
View full solution →A bag contains twenty Rs 5 coins, fifty Rs 2 coins and thirty Re 1 coins. If it is equally likely that one of the coins will fall down when the bag is turned upside down, what is the probability that the coin : will neither be a Rs 5 coin nor be a Re 1 coin?
A game of numbers has cards marked with 11, 12, 13, … 40. A card is drawn at random. Find the probability that the number on the card drawn is : 1) A perfect square 2) Divisible by 7
A bag contains $5$ white balls, $6$ red balls and $9$ green balls. A ball is drawn at random from the bag. Find the probability that the ball is drawn is: $1)$ a green ball $2)$ a white or a red ball $3)$ is neither a green ball nor a white ball.
View full solution →Two dice are thrown simultaneously. What is the probability that: 4 will not come up either time? 4 will come up at least once?
A circle with diameter 20 cm is drawn somewhere on a rectangular piece of paper with length 40 cm and width 30 cm. This paper is kept horizontal on table top and a die, very small in size, is dropped on the rectangular paper without seeing towards it. If the die falls and lands on paper only, find the probability that it will fall and land: inside the circle
A letter is chosen at random from all the letters of the English alphabets. The probability that the letter chosen is a vowel, is:
- A$\frac{4}{26}$
- B$\frac{5}{26}$
- C$\frac{21}{26}$
- D$\frac{5}{24}$
When a pair of coins is tossed, the sample space of the experiment $S=\{ HH , HT , TH , TT \}$. Then,
Which of the following probabilities is/are correct?
1. The probability of getting exactly one head is $\frac{1}{2}$.
2. The probability of getting exactly two heads is $\frac{1}{4}$.
3. The probability of getting atleast one head is $\frac{3}{4}$.
Which of the following probabilities is/are correct?
1. The probability of getting exactly one head is $\frac{1}{2}$.
2. The probability of getting exactly two heads is $\frac{1}{4}$.
3. The probability of getting atleast one head is $\frac{3}{4}$.
- AOnly 1 and 2 are correct
- BOnly 2 and 3 are correct
- COnly 3 and 1 are correct
- ✓All 1, 2 and 3 are correct
Answer: D.
View full solution →When a die is thrown, we can get any number $1,2,3,4,5,6$. So the sample space $S=\{1,2,3,4,5,6\}$. Then, Which of the following probabilities is/are correct?
1. The probability of getting an even number is $\frac{1}{2}$.
2. The probability of getting a prime number is $\frac{1}{2}$.
3. The probability of getting a number less than 5 is $\frac{1}{2}$.
1. The probability of getting an even number is $\frac{1}{2}$.
2. The probability of getting a prime number is $\frac{1}{2}$.
3. The probability of getting a number less than 5 is $\frac{1}{2}$.
- ✓Only 1 and 2 are correct
- BOnly 2 and 3 are correct
- COnly 3 and 1 are correct
- DAll 1, 2 and 3 are correct
Answer: A.
View full solution →Statement A: If a box contains 5 white, 2 Red and 4 black marbles, then the probability of not drawing white marble from the box is $5 / 11$.
Statement B: $p ( E )=1- P ( E )$, where E is any event.
which of the statement are valid?
Statement B: $p ( E )=1- P ( E )$, where E is any event.
which of the statement are valid?
- Aonly A
- ✓only B
- CBoth A and B
- DNeither A nor B
Answer: B.
View full solution →Statement A: The probability of getting a number 8 in a single throw of die.
Statement B : The probability of getting a number less than 7 in a single throw of die.
Which of the above statement has probability equal to 1 ?
Statement B : The probability of getting a number less than 7 in a single throw of die.
Which of the above statement has probability equal to 1 ?
- Aonly A
- ✓only B
- CBoth A and B
- DNeither A nor B
Answer: B.
View full solution →Assertion (A): A die is thrown once and the probability of getting an even number is $\frac{2}{3}$.
Reason (R): The sample space for even numbers on a die is $\{2,4,6\}$
Reason (R): The sample space for even numbers on a die is $\{2,4,6\}$
- AA is true, R is false
- ✓A is false, R is true
- CBoth A and R are true
- DBoth A are R are false.
Answer: B.
View full solution →Assertion: If a die is thrown, the probability of getting a number less than 4 and greater than 3 is zero.
Reason: Probability of an impossible event is zero.
Reason: Probability of an impossible event is zero.
- ✓Both assertion and reason are correct and reason is the correct explanation of assertion.
- BBoth assertion and reason are correct but reason is not the correct explanation of assertion.
- CAssertion is correct but reason is incorrect.
- DAssertion is incorrect but reason is correct.
Answer: A.
View full solution →Assertion : It is given that in a group of 3 students, the probability of 2 students not having the same birthday is 0.992 , then the probability that the 2 students have the same birthday is 0.128 .
Reason) : If $n(A)=1$ and $n(S)=13$, then $P(A)=1 / 13$
Reason) : If $n(A)=1$ and $n(S)=13$, then $P(A)=1 / 13$
- ABoth assertion and reason are correct and reason is the correct explanation of assertion.
- BBoth assertion and reason are correct but reason is not the correct explanation of assertion.
- CAssertion is correct but reason is incorrect.
- ✓Assertion is incorrect but reason is correct.
Answer: D.
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