The probability of an impossible event is:
- ✓$0$
- B$1$
- C$\frac{1}{2}$
- DNon$-$existent.
Answer: A.
View full solution →Question types
Probability question types
185 questions across 5 question groups — pick any mix to generate a Maths paper with step-by-step answer keys.
185
Questions
5
Question groups
5
Question types
01
M.C.Q (1 Marks)
40 Q→022 Marks Questions
65 Q→033 Marks Question
22 Q→044 Marks Questions
25 Q→051 Marks Question
33 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 bag contains cards numbered from $1$ to $25$. A card is drawn at random from the bag. The probability that the number on this card is divisible by both $2$ and $3$ is:
- A$\frac{1}{5}$
- B$\frac{3}{25}$
- ✓$\frac{4}{25}$
- D$\frac{2}{25}$
Answer: C.
View full solution →Two dice are rolled simultaneously. The probability that they show different faces is:
- A$\frac{2}{3}$
- B$\frac{1}{6}$
- C$\frac{1}{3}$
- ✓$\frac{5}{6}$
Answer: D.
View full solution →A bag contains three green marbles, four blue marbles and two orange marbles. If a marble is picked at random, then the probability that it is not an orange marble is:
- A$\frac{1}{4}$
- B$\frac{1}{3}$
- C$\frac{4}{9}$
- ✓$\frac{7}{9}$
Answer: D.
View full solution →In a single throw of a die, the probability of getting a multiple of $3$ is:
- A$\frac{1}{2}$
- ✓$\frac{1}{3}$
- C$\frac{1}{6}$
- D$\frac{2}{3}$
Answer: B.
View full solution →A card is drawn at random from a pack of 52 cards. Find the probability that the card drawn is:
A heart.
A heart.
A box contains 20 cards numbered from 1 to 20. A card is drawn at random from the box. Find the probability that the number on the drawn card is:
- Divisible by 2 or 3.
- A prime number.
A number is selected at random from first 50 natural numbers. Find the probability that it is a multiple of 3 and 4.
A card is drawn at random from a pack of 52 cards. Find the probability that the card drawn is:
Jack.
Jack.
Examine each of the following statements and comment:
If a die in thrown once, there are two possible outcomes - an odd number or an even number. Therefore, the probability of obtaining an odd number is $\frac{1}{2}$ and the probability of obtaining an even number is $\frac{1}{2}$.
View full solution →If a die in thrown once, there are two possible outcomes - an odd number or an even number. Therefore, the probability of obtaining an odd number is $\frac{1}{2}$ and the probability of obtaining an even number is $\frac{1}{2}$.
A bag contains 3 red balls and 5 black balls. A ball is drawn at random from the bag. What is the probability that the ball drawn is:
- Red.
- Black.
A group consists of 12 persons, of which 3 are extremely patient, other 6 are extremely honest and rest are extremely kind. A person form 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:
- Extremely patient.
- Extremely kind or honest.
A box contains 5 red marbles, 8 white marbles and 4 green marbles. One marble is taken out of the box at random. What is the probability that the marble taken out will be:
- Red?
- White?
- Not green?
In the figure, a square dart board is shown. The length of a side of the larger square is $1.5$ times the length of a side of the smaller square. If a dart is thrown and lands on the larger square. What is the probability that it will land in the interior of the smaller square?
View full solution →Suppose you drop a tie at random on the rectangular region shown in the given figure. What is the probability that it will land inside the circle with diameter 1m?
A piggy bank contains hundred 50 paise coins, fifity ₹1 coins, twenty ₹2 coins and ten ₹5 coins. If it is equally likely that one of the coins will fall out when the bank is turned upside down, find the probability that the coin which fell:
- Will be a 50 paise coin.
- Will be of value more than ₹1.
- Will be of value less than ₹5.
- Will be a ₹1 or ₹2 coin.
Cards numbered 1 to 30 are put in a bag. A card is drawn at random from this bag. Find the probability that the number on the drawn card is:
- Not divisible by 3.
- A prime number great than 7.
- Not a perfect square number.
Cards marked with numbers 13, 14, 15, ....., 60 are placed in a box and mixed thoroughly. One card is drawn at random from the box. Find the probability that number on the card drawn is:
- Divisible by 5.
- A number is a perfect square.
A bag contains 6 red balls and some blue balls. if the probability of a drawing a blue ball from the bag is twice that of a red ball, find the number of blue balls in the bag.
All the black face cards are removed from a pack of 52 cards. The remaining cards are well shuffled and then a card is drawn at random. Find the probability to getting a:
- Face card.
- Red card.
- Black card.
- King.
In a simultaneous throw of pair of dice, find the probability of getting:
A doublet of odd numbers.
A doublet of odd numbers.
In a simultaneous throw of pair of dice, find the probability of getting:A sum greater than 9.
In a simultaneous throw of pair of dice, find the probability of getting:
At least once.
At least once.
In a simultaneous throw of pair of dice, find the probability of getting:
A doublet.
A doublet.
In a simultaneous throw of pair of dice, find the probability of getting:
A sum more than 7.
A sum more than 7.
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