Class 9 Quiz Level 2 (Moderate) – Probability

Total questions: 20

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?

Deselect Answer

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

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

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

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

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?

Deselect Answer

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

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

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

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

None

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?

Deselect Answer

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

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

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

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

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?

Deselect Answer

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

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

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

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

None

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

Deselect Answer

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

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

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

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

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?

Deselect Answer

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

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

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

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

None

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

Deselect Answer

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

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

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

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

None

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

Deselect Answer

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

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

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

None

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?

Deselect Answer

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

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

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

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

None

10.

Four coins are tossed simultaneously. What is the probability of getting at least three tails?

Deselect Answer

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

$ \displaystyle \dfrac{3}{{16}}$

$ \displaystyle \dfrac{7}{{16}}$

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

None

11.

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

Deselect Answer

$ \displaystyle \dfrac{16}{{51}}$

$ \displaystyle \dfrac{32}{{119}}$

$ \displaystyle \dfrac{48}{{153}}$

$ \displaystyle \dfrac{32}{{153}}$

None

12.

A bag contains 6 red, 5 blue, and 3 green balls. Three balls are drawn at random without replacement. What is the probability that exactly one of them is green?

Deselect Answer

$ \displaystyle \dfrac{12}{{55}}$

$ \displaystyle \dfrac{18}{{55}}$

$ \displaystyle \dfrac{24}{{55}}$

$ \displaystyle \dfrac{36}{{55}}$

None

13.

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

Deselect Answer

$ \displaystyle \dfrac{1}{{2200}}$

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

$ \displaystyle \dfrac{1}{{825}}$

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

None

14.

Two dice are rolled simultaneously. What is the probability of getting a sum of 3 or 8?

Deselect Answer

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

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

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

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

None

15.

Four coins are tossed simultaneously. What is the probability of getting exactly two tails?

Deselect Answer

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

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

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

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

None

16.

Five coins are tossed simultaneously. What is the probability of getting at least four heads?

Deselect Answer

$ \displaystyle \dfrac{5}{{32}}$

$ \displaystyle \dfrac{7}{{32}}$

$ \displaystyle \dfrac{3}{{16}}$

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

None

17.

Three coins are tossed simultaneously. What is the probability of getting exactly one head?

Deselect Answer

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

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

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

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

None

18.

Three dice are rolled simultaneously. What is the probability of getting a sum of 16?

Deselect Answer

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

$ \displaystyle \dfrac{1}{{72}}$

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

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

None

19.

Three dice are rolled simultaneously. What is the probability of getting a sum of 12?

Deselect Answer

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

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

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

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

None

20.

Two dice are rolled simultaneously. What is the probability of getting a sum of 9 or 10?

Deselect Answer

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

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

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

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

None

1 out of 20

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Class 9 Quiz Level 2 (Moderate) – Probability

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