Class 10 Practice – Level 3 – Set 2 Probability

Total questions: 15

A bag contains 5 red, 6 blue, and 7 green balls. Two balls are drawn at random. What is the probability that both balls are of different colors?

Topic: Probability of Picking Specific Balls

$\displaystyle \dfrac{2}{{17}}$

$\displaystyle \dfrac{91}{{136}}$

$\displaystyle \dfrac{45}{{136}}$

$\displaystyle \dfrac{3}{{7}}$

None

Three dice are rolled. What is the probability that the sum of the numbers is 9?

Topic: Probability of Getting a Specific Sum

$\displaystyle \dfrac{25}{{216}}$

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

$\displaystyle \dfrac{5}{{54}}$

$\displaystyle \dfrac{7}{{108}}$

None

Two cards are drawn from a well-shuffled deck of 52 cards. What is the probability that none of them are red cards?

Topic: Probability of No Red Cards

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

$\displaystyle \dfrac{13}{{51}}$

$\displaystyle \dfrac{7}{{26}}$

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

None

Two dice are rolled. What is the probability that the sum of the numbers is not a prime number?Two dice are rolled. What is the probability that the sum of the numbers is not a prime number?

Topic: Probability of a Non-Prime Sum

$\displaystyle \dfrac{5}{{12}}$

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

$\displaystyle \dfrac{13}{{36}}$

$\displaystyle \dfrac{7}{{12}}$

None

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

Topic: Probability of Drawing Face Cards or Ace

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

$\displaystyle \dfrac{7}{{663}}$

$\displaystyle \dfrac{1}{{69}}$

$\displaystyle \dfrac{5}{{422}}$

None

Two cards are drawn from a deck. What is the probability that one is a king and the other is a queen?

Topic: Probability of Drawing One King and One Queen

$\displaystyle \dfrac{4}{{663}}$

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

$\displaystyle \dfrac{5}{{663}}$

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

None

Three fair coins are tossed. What is the probability of getting at least two heads?

Topic: Probability of Getting At Least Two Heads

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

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

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

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

None

A card is drawn randomly from a well-shuffled deck of 52 cards. What is the probability that the card has a value less than 7 (assuming ace is the lowest)?

Topic: Probability of Drawing a Card Less than 7

$\displaystyle \dfrac{3}{{36}}$

$\displaystyle \dfrac{9}{{13}}$

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

$\displaystyle \dfrac{5}{{13}}$

None

Two cards are drawn from a well-shuffled deck of 52 cards. What is the probability that neither card is a face card?

Topic: Probability of No Face Cards

$\displaystyle \dfrac{10}{{17}}$

$\displaystyle \dfrac{35}{{221}}$

$\displaystyle \dfrac{25}{{51}}$

$\displaystyle \dfrac{5}{{26}}$

None

10.

Three fair coins are tossed. What is the probability of getting at least one tail?

Topic: Probability of Getting At Least One Tail

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

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

$\displaystyle \dfrac{7}{{8}}$

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

None

11.

Two cards are drawn randomly from a well-shuffled deck of 52 cards. What is the probability that neither is a face card?

Topic: Probability of Not Drawing a Face Card

$\displaystyle \dfrac{25}{{51}}$

$\displaystyle \dfrac{40}{{221}}$

$\displaystyle \dfrac{8}{{13}}$

$\displaystyle \dfrac{25}{{51}}$

None

12.

Two cards are drawn randomly from a deck of 52 cards. What is the probability that both are either kings or queens?

Topic: Probability of Drawing Two Kings or Queens

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

$\displaystyle \dfrac{8}{{663}}$

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

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

None

13.

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

Topic: Probability of Rolling a Sum Greater Than 8

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

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

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

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

None

14.

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

Topic: Probability of Getting Exactly Two Heads

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

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

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

$\displaystyle \dfrac{5}{{8}}$

None

15.

Three cards are drawn from a well-shuffled deck of 52 cards. What is the probability that they are one king, one queen, and one ace?

Topic: Probability of Drawing Three Specific Cards

$\displaystyle \dfrac{1}{{121}}$

$\displaystyle \dfrac{2}{{5525}}$

$\displaystyle \dfrac{4}{{663}}$

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

None

1 out of 15

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Class 10 Practice – Level 3 – Set 2 Probability

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