Class 10 Practice – Level 3 – Set 1 Probability

Total questions: 15

A box contains 8 red, 5 white, and 7 blue balls. Two balls are drawn at random. What is the probability that one is red and the other is white?

Topic: Probability of Multiple Events

$ \displaystyle \dfrac{1}{34}$

$ \displaystyle \dfrac{7}{85}$

$ \displaystyle \dfrac{4}{51}$

$ \displaystyle \dfrac{14}{95}$

None

Two dice are rolled. What is the probability that the sum of the numbers is 10 or both numbers are odd?

Topic: Probability of a Compound Event

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

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

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

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

None

Three cards are drawn from a well-shuffled deck of 52 cards. What is the probability that all three are kings?

Topic: Probability of Three Cards

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

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

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

$ \displaystyle \dfrac{1}{1326}$

None

Three cards are drawn from a deck of 52 cards. What is the probability that at least one of them is an ace?

Topic: Probability of at Least One Ace

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

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

$ \displaystyle \dfrac{25}{221}$

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

None

Two cards are drawn randomly from a deck. What is the probability that they are either both red kings or both red queens?

Topic: Probability of a Red King or Queen

$ \displaystyle \dfrac{1}{663}$

$ \displaystyle \dfrac{4}{221}$

$ \displaystyle \dfrac{1}{1326}$

$ \displaystyle \dfrac{1}{442}$

None

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

Topic: Probability of Sum Being a Prime Number

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

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

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

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

None

Three fair coins are tossed. What is the probability of getting exactly three heads?

Topic: Probability of Getting Three Heads

$ \displaystyle \dfrac{1}{8}$

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

$ \displaystyle \dfrac{3}{8}$

$ \displaystyle \dfrac{3}{4}$

None

Two dice are rolled. What is the probability of getting two even numbers?

Topic: Probability of Rolling Two Even Numbers

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

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

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

$ \displaystyle \dfrac{5}{6}$

None

If a card is drawn from a deck of 52 cards, what is the probability of drawing a black ace?

Topic: Probability of a Black Ace

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

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

$ \displaystyle \dfrac{1}{52}$

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

None

10.

Two cards are drawn randomly from a deck of 52 cards. What is the probability that neither card is a black card?

Topic: Probability of No Black Card

$ \displaystyle \dfrac{5}{17}$

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

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

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

None

11.

Two cards are drawn randomly from a well-shuffled deck of 52 cards. What is the probability that one is a face card and the other is a king?

Topic: Probability of a Face Card and a King

$ \displaystyle \dfrac{2}{663}$

$ \displaystyle \dfrac{2}{221}$

$ \displaystyle \dfrac{1}{1326}$

$ \displaystyle \dfrac{5}{442}$

None

12.

A die is rolled. What is the probability of getting a prime number less than 7?

Topic: Probability of a Prime Number Less Than 7

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

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

$ \displaystyle \dfrac{2}{3}$

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

None

13.

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

Topic: Probability of Getting an Odd Sum

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

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

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

$ \displaystyle \dfrac{2}{3}$

None

14.

Two cards are drawn randomly from a deck of 52 cards. What is the probability that one card is a heart and the other is a diamond?

Topic: Probability of Two Specific Cards

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

$ \displaystyle \dfrac{26}{663}$

$ \displaystyle \dfrac{25}{221}$

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

None

15.

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

Topic: Probability of Rolling Two Numbers Greater Than 4

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

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

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

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

None

1 out of 15

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Class 10 Practice – Level 3 – Set 1 Probability

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