Class 10 Practice – Level 2 – Set 1 – Probability

Total questions: 25

A bag contains 6 red balls, 4 blue balls, and 5 green balls. A ball is drawn at random. What is the probability that the ball is neither red nor green?

Topic: Probability of Multiple Events

$ \displaystyle \dfrac{1}{5}$

$ \displaystyle \dfrac{2}{5}$

$ \displaystyle \dfrac{1}{3}$

$ \displaystyle \dfrac{4}{15}$

None

A card is drawn from a deck of 52 cards. What is the probability that it is a spade, given that it is a black card?

Topic: Conditional Probability

$ \displaystyle \dfrac{1}{2}$

$ \displaystyle \dfrac{1}{4}$

$ \displaystyle \dfrac{1}{13}$

$ \displaystyle \dfrac{1}{26}$

None

Two dice are rolled. What is the probability that the sum of the numbers is 7?

Topic: Rolling Two Dice

$ \displaystyle \dfrac{1}{6}$

$ \displaystyle \dfrac{1}{12}$

$ \displaystyle \dfrac{1}{36}$

$ \displaystyle \dfrac{5}{36}$

None

The probability of a student passing an exam is 0.75. What is the probability that the student fails the exam?

Topic: Probability of a Complementary Event

0.15

0.25

0.75

None

Two cards are drawn at random from a deck of 52 cards without replacement. What is the probability that both cards are aces?

Topic: Probability of Drawing Two Specific Cards

$ \displaystyle \dfrac{1}{169}$

$ \displaystyle \dfrac{1}{221}$

$ \displaystyle \dfrac{1}{13}$

$ \displaystyle \dfrac{1}{5525}$

None

Two dice are rolled. What is the probability that both numbers are even?

Topic: Probability of Rolling Two Dice

$ \displaystyle \dfrac{1}{4}$

$ \displaystyle \dfrac{1}{6}$

$ \displaystyle \dfrac{1}{9}$

$ \displaystyle \dfrac{1}{36}$

None

If two dice are rolled, what is the probability of getting a sum of 9 or 10?

Topic: Probability of a Compound Event

$ \displaystyle \dfrac{5}{18}$

$ \displaystyle \dfrac{7}{36}$

$ \displaystyle \dfrac{1}{9}$

$ \displaystyle \dfrac{7}{18}$

None

A bag contains 8 white, 6 black, and 4 green balls. If two balls are drawn randomly, what is the probability that both balls are white?

Topic: Probability of Picking Specific Balls

$ \displaystyle \dfrac{28}{153}$

$ \displaystyle \dfrac{8}{153}$

$ \displaystyle \dfrac{7}{51}$

$ \displaystyle \dfrac{3}{17}$

None

Two dice are rolled. What is the probability that the sum of the numbers is 5 or 11?

Topic: Probability of Rolling a Specific Sum

$ \displaystyle \dfrac{1}{6}$

$ \displaystyle \dfrac{1}{9}$

$ \displaystyle \dfrac{7}{36}$

$ \displaystyle \dfrac{2}{9}$

None

10.

If two cards are drawn randomly from a deck of 52 cards, what is the probability that at least one is a king?

Topic: Drawing a Specific Card

$ \displaystyle \dfrac{1}{13}$

$ \displaystyle \dfrac{4}{13}$

$ \displaystyle \dfrac{1}{221}$

$ \displaystyle \dfrac{2}{13}$

None

11.

Two cards are drawn from a well-shuffled deck of 52 cards. What is the probability that both cards are red?

Topic: Probability of Drawing Two Red Card

$ \displaystyle \dfrac{25}{102}$

$ \displaystyle \dfrac{13}{102}$

$ \displaystyle \dfrac{26}{51}$

$ \displaystyle \dfrac{1}{2}$

None

12.

Two dice are rolled. What is the probability of getting doubles (same number on both dice)?

Topic: Probability of Multiple Outcomes

$ \displaystyle \dfrac{1}{6}$

$ \displaystyle \dfrac{5}{18}$

$ \displaystyle \dfrac{1}{3}$

$ \displaystyle \dfrac{1}{9}$

None

13.

Two dice are rolled. What is the probability that the sum of the numbers is greater than 8?

Topic: Rolling Two Dice

$ \displaystyle \dfrac{5}{18}$

$ \displaystyle \dfrac{15}{36}$

$ \displaystyle \dfrac{9}{36}$

$ \displaystyle \dfrac{7}{18}$

None

14.

Two dice are rolled. What is the probability that the sum of the numbers is a prime number?

Topic: Probability of Getting a Prime Sum

$ \displaystyle \dfrac{7}{36}$

$ \displaystyle \dfrac{15}{36}$

$ \displaystyle \dfrac{1}{6}$

$ \displaystyle \dfrac{1}{12}$

None

15.

Two cards are drawn from a well-shuffled deck of 52 cards. What is the probability that both are face cards?

Topic: Probability of Drawing a Face Card

$ \displaystyle \dfrac{3}{13}$

$ \displaystyle \dfrac{11}{221}$

$ \displaystyle \dfrac{1}{26}$

$ \displaystyle \dfrac{1}{13}$

None

16.

Two dice are rolled. What is the probability that the sum of the numbers is an even number?

Topic: Probability of Rolling Two Dice

$ \displaystyle \dfrac{1}{2}$

$ \displaystyle \dfrac{1}{3}$

$ \displaystyle \dfrac{1}{4}$

$ \displaystyle \dfrac{5}{9}$

None

17.

If a card is drawn from a deck of 52 cards, what is the probability that it is a red king, given that the card is a red card?

Topic: Conditional Probability with a Deck of Cards

$ \displaystyle \dfrac{1}{26}$

$ \displaystyle \dfrac{1}{2}$

$ \displaystyle \dfrac{1}{13}$

$ \displaystyle \dfrac{1}{16}$

None

18.

Two dice are rolled. What is the probability of getting at least one six?

Topic: Probability of Rolling at Least One Six

$ \displaystyle \dfrac{1}{6}$

$ \displaystyle \dfrac{11}{36}$

$ \displaystyle \dfrac{1}{3}$

$ \displaystyle \dfrac{5}{36}$

None

19.

A bag contains 5 red balls, 4 blue balls, and 6 green balls. Two balls are drawn at random. What is the probability that both balls are green?

Topic: Probability of Picking Specific Balls

$ \displaystyle \dfrac{1}{3}$

$ \displaystyle \dfrac{5}{39}$

$ \displaystyle \dfrac{2}{11}$

$ \displaystyle \dfrac{1}{13}$

None

20.

Two dice are rolled. What is the probability that the sum of the numbers is less than 5?

Topic: Probability of Sum Less Than 5

$ \displaystyle \dfrac{1}{9}$

$ \displaystyle \dfrac{5}{18}$

$ \displaystyle \dfrac{7}{36}$

$ \displaystyle \dfrac{1}{4}$

None

21.

Two dice are rolled. What is the probability that the sum of the numbers is a prime number?

Topic: Probability of a Prime Sum

$ \displaystyle \dfrac{7}{6}$

$ \displaystyle \dfrac{9}{36}$

$ \displaystyle \dfrac{1}{6}$

$ \displaystyle \dfrac{5}{18}$

None

22.

Two cards are drawn from a well-shuffled deck of 52 cards. What is the probability that both cards are kings?

Topic: Probability of Drawing Two Kings

$ \displaystyle \dfrac{1}{169}$

$ \displaystyle \dfrac{1}{221}$

$ \displaystyle \dfrac{1}{13}$

$ \displaystyle \dfrac{1}{5525}$

None

23.

If two cards are drawn randomly from a deck of 52 cards, what is the probability that at least one is a face card?

Topic: Probability of Drawing Face Cards

$ \displaystyle \dfrac{3}{13}$

$ \displaystyle \dfrac{11}{221}$

$ \displaystyle \dfrac{1}{26}$

$ \displaystyle \dfrac{1}{13}$

None

24.

Two dice are rolled. What is the probability of getting doubles or a sum of 7?

Topic: Probability of Rolling Doubles

$ \displaystyle \dfrac{1}{6}$

$ \displaystyle \dfrac{1}{3}$

$ \displaystyle \dfrac{5}{18}$

$ \displaystyle \dfrac{1}{9}$

None

25.

Two dice are rolled. What is the probability that both numbers are less than 4?

Topic: Probability of Rolling Two Numbers Less Than 4

$ \displaystyle \dfrac{1}{9}$

$ \displaystyle \dfrac{1}{4}$

$ \displaystyle \dfrac{5}{36}$

$ \displaystyle \dfrac{1}{6}$

None

1 out of 25

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Class 10 Practice – Level 2 – Set 1 – Probability

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