Class 9 Practice – Level 2 – Set 1 - Probability

Total questions: 25

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

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

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

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

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

None

Two cards are drawn at random from a well-shuffled deck of 52 playing cards without replacement. What is the probability that both cards are Aces?

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

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

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

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

None

Two dice are rolled simultaneously. What is the probability of getting a sum of 10?

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

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

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

$ \displaystyle \dfrac{1}{18}$

None

A bag contains 6 red, 8 blue, and 4 green balls. Two balls are drawn at random without replacement. What is the probability that both balls are green?

$\displaystyle \dfrac{1}{{21}}$

$\displaystyle \dfrac{2}{{33}}$

$\displaystyle \dfrac{2}{{51}}$

$\displaystyle \dfrac{2}{{55}}$

None

A card is drawn at random from a well-shuffled deck of 52 playing cards. What is the probability that it is either a red card or a King?

$ \displaystyle \dfrac{7}{{13}}$

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

$ \displaystyle \dfrac{15}{{26}}$

$ \displaystyle \dfrac{17}{{26}}$

None

Three dice are rolled simultaneously. What is the probability of getting a sum of 9?

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

$ \displaystyle \dfrac{1}{{18}}$

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

$ \displaystyle \dfrac{5}{{108}}$

None

A bag contains 5 white, 3 black, and 2 red balls. Two balls are drawn at random without replacement. What is the probability that one is white and the other is black?

$ \displaystyle \dfrac{{15}}{{45}}$

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

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

$ \displaystyle \dfrac{{7}}{{30}}$

None

Two cards are drawn at random from a well-shuffled deck of 52 playing cards without replacement. What is the probability that one is a heart and the other is a spade?

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

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

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

$ \displaystyle \dfrac{13}{{204}}$

None

Four coins are tossed simultaneously. What is the probability of getting exactly three heads?

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

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

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

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

None

10.

Two dice are rolled simultaneously. What is the probability of getting at least one 5?

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

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

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

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

None

11.

Three cards are drawn at random from a well-shuffled deck of 52 playing cards without replacement. What is the probability that all three cards are Aces?

$ \displaystyle \dfrac{1}{{22100}}$

$ \displaystyle \dfrac{1}{{5535}}$

$ \displaystyle \dfrac{1}{{20475}}$

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

None

12.

Three dice are rolled simultaneously. What is the probability of getting a sum of 15?

$ \displaystyle \dfrac{1}{{18}}$

$ \displaystyle \dfrac{10}{{216}}$

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

None

13.

Five coins are tossed simultaneously. What is the probability of getting at least one tail?

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

$ \displaystyle \dfrac{31}{{32}}$

$ \displaystyle \dfrac{1}{{32}}$

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

None

14.

A bag contains 6 red, 7 blue, and 4 green balls. Three balls are drawn at random without replacement. What is the probability that all three balls are blue?

$ \displaystyle \dfrac{7}{{455}}$

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

$ \displaystyle \dfrac{1}{{66}}$

$ \displaystyle \dfrac{7}{{330}}$

None

15.

Two dice are rolled simultaneously. What is the probability of getting a sum of 7 or 11?

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

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

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

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

None

16.

Two cards are drawn at random from a well-shuffled deck of 52 playing cards without replacement. What is the probability that both cards are face cards (Jack, Queen, King)?

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

$ \displaystyle \dfrac{1}{{1225}}$

$ \displaystyle \dfrac{1}{{104}}$

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

None

17.

Three dice are rolled simultaneously. What is the probability of getting at least one 6?

$ \displaystyle \dfrac{1}{{216}}$

$ \displaystyle \dfrac{1}{{18}}$

$ \displaystyle \dfrac{91}{{216}}$

$ \displaystyle \dfrac{125}{{216}}$

None

18.

Six coins are tossed simultaneously. What is the probability of getting exactly four heads?

$ \displaystyle \dfrac{5}{{16}}$

$ \displaystyle \dfrac{15}{{64}}$

$ \displaystyle \dfrac{3}{{32}}$

$ \displaystyle \dfrac{15}{{64}}$

None

19.

A bag contains 4 red, 5 blue, and 6 green balls. Three balls are drawn at random without replacement. What is the probability that none of the balls drawn is red?

$ \displaystyle \dfrac{1}{{22}}$

$ \displaystyle \dfrac{10}{{91}}$

$ \displaystyle \dfrac{5}{{33}}$

$ \displaystyle \dfrac{10}{{77}}$

None

20.

Three cards are drawn at random from a well-shuffled deck of 52 playing cards without replacement. What is the probability that all three cards are of the same suit?

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

$ \displaystyle \dfrac{1}{{10200}}$

$ \displaystyle \dfrac{1}{{10726}}$

$ \displaystyle \dfrac{1}{{1155}}$

None

21.

Two dice are rolled simultaneously. What is the probability of getting a sum of 4?

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

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

$ \displaystyle \dfrac{1}{18}$

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

None

22.

Four coins are tossed simultaneously. What is the probability of getting at most one head? • 5/16

$ \displaystyle \dfrac{5}{{16}}$

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

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

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

None

23.

A bag contains 8 red, 5 white, and 7 black balls. Two balls are drawn at random without replacement. What is the probability that both balls are of different colors?

$ \displaystyle \dfrac{{112}}{{190}}$

$ \displaystyle \dfrac{{120}}{{190}}$

$ \displaystyle \dfrac{{128}}{{190}}$

$ \displaystyle \dfrac{{136}}{{190}}$

None

24.

Three dice are rolled simultaneously. What is the probability of getting a sum of 13?

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

$ \displaystyle \dfrac{1}{{27}}$

$ \displaystyle \dfrac{1}{{18}}$

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

None

25.

Two cards are drawn at random from a well-shuffled deck of 52 playing cards without replacement. What is the probability that both cards are Aces?

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

$ \displaystyle \dfrac{1}{{20825}}$

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

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

None

1 out of 25

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Class 9 Practice – Level 2 – Set 1 - Probability

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