Theoretical Probability

Q.

There are 25 red balls, 42 blue balls and 33 yellow balls in a bag. Kiran mixes the balls thoroughly inside the bag and then picks a ball at random from the bag. What is the probability that Kiran picks a blue ball?

1. 0.42

2. 0.50

3. 0.62

4. 0.82

Q. A single die is rolled. Find the probability of the sum of the five visible faces being greater than or equal to 19.
[Theoretical Probability]
(2 Marks)

Q. The probability of which of the following events is 1?

1. Probability that the topper of the class is a boy in a girl’s school.
2. Probability of getting a blue ball from a bag having only red balls.
3. Probability that a multiple of 6 is an even number.
4. Probability of getting a red card is chosen from a pack of 52 cards.

Q. A dice is rolled once. What is the probability of getting a four?

1. $\frac{1}{6}$
2. $\frac{1}{2}$
3. $1$
4. $\frac{1}{3}$

Q. In the famous bollywood movie Sholay, Jai uses a coin in which both the faces are same i.e., heads. Jai always uses this coin to settle disputes with his friend named Viru by tossing it. In the case of a toss, Jai always calls heads. What is the probability that Jai will win the toss?

1. $\frac{1}{4}$
2. $\frac{1}{2}$
3. $\frac{1}{3}$
4. $1$

Q.

A jar contains 24 marbles, some are green and others are blue. If a marble is drawn at random from the jar, the probability that it is green is $\frac{2}{3}$. Find the number of blue marbles in the jar.

1. 8

2. 12

3. 16

4. 11

Q.

A card is drawn at random from a pack of 52 cards. Find the probability that the card drawn is black or king.

1. $\frac{1}{2}$
2. $\frac{7}{13}$
3. $\frac{15}{26}$
4. $\frac{8}{13}$

Q.

A bag contains 100 identical marble stones numbered from 1 to 100. What is the probability of drawing a marble having a number divisible by both 4 and 5?

1. 2/40

2. 1/25

3. 2/25

4. 2/20

Q.

State whether the given statement is true or false:

A bag contains 4 red and 8 blue marbles. A marble is drawn at random. The probability of drawing red is $\frac{1}{3}$.

1. True

2. False

Q.

There are 5 green, 6 black and 7 white balls in a bag. A ball is drawn at random from the bag. Find the probability that it is not white.

1. $\frac{11}{18}$

2. $\frac{7}{18}$

3. $\frac{2}{3}$

4. $\frac{5}{18}$