Class 9 Practice Level 3 – Set 1 – Probability

Total questions: 15

Three dice are rolled simultaneously. What is the probability of getting a sum of 17?

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

$ \displaystyle \dfrac{1}{{108}}$

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

$ \displaystyle \dfrac{3}{{216}}$

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 different suits?

$ \displaystyle \dfrac{{13}}{{1020}}$

$ \displaystyle \dfrac{{24}}{{850}}$

$ \displaystyle \dfrac{{288}}{{5525}}$

$ \displaystyle \dfrac{{216}}{{5525}}$

None

A bag contains 5 red, 6 blue, and 9 yellow balls. Four balls are drawn at random without replacement. What is the probability that at least one of them is blue?

$ \displaystyle \dfrac{{251}}{{455}}$

$ \displaystyle \dfrac{{187}}{{455}}$

$ \displaystyle \dfrac{{204}}{{455}}$

$ \displaystyle \dfrac{{1}}{{455}}$

None

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

$ \displaystyle \dfrac{{25}}{{64}}$

$ \displaystyle \dfrac{{11}}{{32}}$

$ \displaystyle \dfrac{{7}}{{64}}$

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

None

Two dice are rolled simultaneously. What is the probability of getting an even number on one die and an odd number on the other?

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

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

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

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

None

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

$ \displaystyle \dfrac{1}{{270725}}$

$ \displaystyle \dfrac{1}{{54944}}$

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

$ \displaystyle \dfrac{1}{{322580}}$

None

A bag contains 4 red, 3 blue, and 5 green balls. Three balls are drawn at random without replacement. What is the probability that all three balls are of different colors?

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

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

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

$ \displaystyle \dfrac{3}{{22}}$

None

Three dice are rolled simultaneously. What is the probability of getting a sum of 18?

$ \displaystyle \dfrac{{1}}{{108}}$

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

$ \displaystyle \dfrac{{1}}{{54}}$

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

None

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

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

$ \displaystyle \dfrac{{1}}{{1170}}$

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

$ \displaystyle \dfrac{{1}}{{850}}$

None

10.

A bag contains 7 red, 5 blue, and 3 green balls. Four balls are drawn at random without replacement. What is the probability that exactly two of them are red?

$ \displaystyle \dfrac{{25}}{{78}}$

$ \displaystyle \dfrac{{35}}{{154}}$

$ \displaystyle \dfrac{{9}}{{52}}$

$ \displaystyle \dfrac{{15}}{{91}}$

None

11.

Six coins are tossed simultaneously. What is the probability of getting at most two tails?

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

$ \displaystyle \dfrac{{5}}{{35}}$

$ \displaystyle \dfrac{{11}}{{64}}$

$ \displaystyle \dfrac{{13}}{{64}}$

None

12.

Four cards are drawn at random from a well-shuffled deck of 52 playing cards without replacement. What is the probability that at least one of them is a face card?

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

$ \displaystyle \dfrac{{17}}{{52}}$

$ \displaystyle \dfrac{{8}}{{17}}$

$ \displaystyle \dfrac{{29}}{{52}}$

None

13.

A bag contains 6 red, 8 blue, and 5 green balls. Four balls are drawn at random without replacement. What is the probability that all four balls are blue?

$ \displaystyle \dfrac{{4}}{{153}}$

$ \displaystyle \dfrac{{8}}{{130}}$

$ \displaystyle \dfrac{{7}}{{260}}$

$ \displaystyle \dfrac{{1}}{{130}}$

None

14.

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

$ \displaystyle \dfrac{{1}}{{1296}}$

$ \displaystyle \dfrac{{1296}}{{1296}}$

$ \displaystyle \dfrac{{1}}{{7776}}$

$ \displaystyle \dfrac{{256}}{{1296}}$

None

15.

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

$ \displaystyle \dfrac{{1}}{{6624}}$

$ \displaystyle \dfrac{{1}}{{9800}}$

$ \displaystyle \dfrac{{1}}{{2649}}$

$ \displaystyle \dfrac{{1}}{{5400}}$

None

1 out of 15

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Class 9 Practice Level 3 – Set 1 – Probability

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