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→021 Marks Question
33 Q→032 Marks Questions
65 Q→043 Marks Question
22 Q→054 Marks Questions
25 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 →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 $9$.
View full solution →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 $7$.
View full solution →A sum more than $7$.
A card is drawn at random from a pack of $52$ cards. Find the probability that the card drawn is:
A heart.
View full solution →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:
View full solution →- 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 $4.$
View full solution →A card is drawn at random from a pack of $52$ cards. Find the probability that the card drawn is:
Jack.
View full solution →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:
View full solution →- 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:
View full solution →- 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:
View full solution →- 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 $1m?$
View full solution →A game of chance consists of spinning an arrow which is equally likely to come to rest pointing to one of the number $1, 2, 3, ....., 12$ as shown in following figure. What is the probability that it will point to:
View full solution →
- $10?$
- An odd number?
- A number which is multiple of $3?$
- An even number?
A bag contains $4$ red, $5$ black and $6$ white balls. A ball is drawn from the bag at random. Find the probability that the ball drawn is:
View full solution →- White.
- Red.
- Not black.
- Red or white.
From a pack of $52$ playing cards Jacks, queens, Kings and aces of red colour are removed. From the remaining, a card is drawn at random. Find the probability that the card drawn is:
View full solution →- A black queen.
- A red card.
- A black jack.
- A picture card (Jacks, queens and Kings are picture cards).
In the given figure, $JKLM$ is a square with sides of length $6$ units. Points $A$ and $B$ are the mid points of sides $KL$ and $LM$ respectively. If a point is selected at random from the interior of the square. What is the probability that the point will be chosen from the interior of $\triangle\text{JAB}.$
View full solution →In a bag there are $44$ identical cards with figure of circle or square on them. There are $24$ circles, of which $9$ are blue and rest are green and $20$ squares of which $11$ are blue and rest are green. One card is drawn from the bag at random. Find the probability that it has the figure of:
View full solution →- Square.
- Green colour.
- Blue circle.
- Green.
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