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Class 9 Practice – Level 2 – Set 2 – Probability
Total questions: 25
1.
Two dice are rolled simultaneously. What is the probability of getting a doublet (both dice showing the same number)?
$ \displaystyle \dfrac{1}{{36}}$
$ \displaystyle \dfrac{1}{{12}}$
$ \displaystyle \dfrac{1}{{18}}$
$ \displaystyle \dfrac{1}{{6}}$
None
2.
Three cards are drawn at random from a well-shuffled deck of 52 playing cards without replacement. What is the probability that exactly two of them are Kings?
$ \displaystyle \dfrac{1}{{850}}$
$ \displaystyle \dfrac{1}{{220}}$
$ \displaystyle \dfrac{1}{{775}}$
$ \displaystyle \dfrac{1}{{663}}$
None
3.
Four coins are tossed simultaneously. What is the probability of getting at least three tails?
$ \displaystyle \dfrac{5}{{16}}$
$ \displaystyle \dfrac{3}{{16}}$
$ \displaystyle \dfrac{7}{{16}}$
$ \displaystyle \dfrac{1}{{16}}$
None
4.
A bag contains 7 red, 6 blue, and 5 yellow balls. Three balls are drawn at random without replacement. What is the probability that none of them is red?
$ \displaystyle \dfrac{1}{{44}}$
$ \displaystyle \dfrac{3}{{22}}$
$ \displaystyle \dfrac{5}{{26}}$
$ \displaystyle \dfrac{1}{{11}}$
None
5.
Two cards are drawn at random from a well-shuffled deck of 52 playing cards without replacement. What is the probability that one card is a heart and the other is a club?
$ \displaystyle \dfrac{1}{{25}}$
$ \displaystyle \dfrac{13}{{204}}$
$ \displaystyle \dfrac{2}{{13}}$
$ \displaystyle \dfrac{1}{{26}}$
None
6.
Three dice are rolled simultaneously. What is the probability of getting a sum of 16?
$ \displaystyle \dfrac{5}{{108}}$
$ \displaystyle \dfrac{1}{{72}}$
$ \displaystyle \dfrac{25}{{216}}$
$ \displaystyle \dfrac{1}{{36}}$
None
7.
Five coins are tossed simultaneously. What is the probability of getting exactly two heads?
$ \displaystyle \dfrac{1}{{4}}$
$ \displaystyle \dfrac{5}{{16}}$
$ \displaystyle \dfrac{5}{{32}}$
$ \displaystyle \dfrac{10}{{32}}$
None
8.
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?
$ \displaystyle \dfrac{16}{{51}}$
$ \displaystyle \dfrac{32}{{119}}$
$ \displaystyle \dfrac{48}{{153}}$
$ \displaystyle \dfrac{32}{{153}}$
None
9.
Two cards are drawn at random from a well-shuffled deck of 52 playing cards without replacement. What is the probability that both are Queens?
$ \displaystyle \dfrac{1}{{663}}$
$ \displaystyle \dfrac{1}{{169}}$
$ \displaystyle \dfrac{1}{{52}}$
$ \displaystyle \dfrac{1}{{221}}$
None
10.
Two dice are rolled simultaneously. What is the probability of getting a sum of 3 or 8?
$ \displaystyle \dfrac{1}{{6}}$
$ \displaystyle \dfrac{5}{{18}}$
$ \displaystyle \dfrac{7}{{36}}$
$ \displaystyle \dfrac{1}{{4}}$
None
11.
Four coins are tossed simultaneously. What is the probability of getting exactly two tails?
$ \displaystyle \dfrac{1}{{4}}$
$ \displaystyle \dfrac{5}{{16}}$
$ \displaystyle \dfrac{3}{{8}}$
$ \displaystyle \dfrac{1}{{2}}$
None
12.
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)?
$ \displaystyle \dfrac{1}{{2200}}$
$ \displaystyle \dfrac{1}{{104}}$
$ \displaystyle \dfrac{1}{{825}}$
$ \displaystyle \dfrac{1}{{221}}$
None
13.
Two dice are rolled simultaneously. What is the probability of getting at least one 2?
$ \displaystyle \dfrac{11}{{36}}$
$ \displaystyle \dfrac{13}{{36}}$
$ \displaystyle \dfrac{7}{{36}}$
$ \displaystyle \dfrac{1}{{3}}$
None
14.
A bag contains 7 white, 5 black, and 3 green balls. Three balls are drawn at random without replacement. What is the probability that all three balls are black?
$ \displaystyle \dfrac{1}{{36}}$
$ \displaystyle \dfrac{1}{{11}}$
$ \displaystyle \dfrac{1}{{220}}$
$ \displaystyle \dfrac{1}{{60}}$
None
15.
Two cards are drawn at random from a well-shuffled deck of 52 playing cards without replacement. What is the probability that neither of them is a King?
$ \displaystyle \dfrac{1}{{17}}$
$ \displaystyle \dfrac{169}{{221}}$
$ \displaystyle \dfrac{15}{{51}}$
$ \displaystyle \dfrac{221}{{221}}$
None
16.
Three coins are tossed simultaneously. What is the probability of getting exactly one head?
$ \displaystyle \dfrac{1}{{2}}$
$ \displaystyle \dfrac{1}{{8}}$
$ \displaystyle \dfrac{3}{{8}}$
$ \displaystyle \dfrac{1}{{4}}$
None
17.
Three dice are rolled simultaneously. What is the probability of getting a sum of 12?
$ \displaystyle \dfrac{5}{{54}}$
$ \displaystyle \dfrac{25}{{216}}$
$ \displaystyle \dfrac{1}{{18}}$
$ \displaystyle \dfrac{1}{{9}}$
None
18.
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 Aces?
$ \displaystyle \dfrac{1}{{8500}}$
$ \displaystyle \dfrac{1}{{10304}}$
$ \displaystyle \dfrac{1}{{22100}}$
$ \displaystyle \dfrac{1}{{6900}}$
None
19.
A bag contains 5 white, 3 red, and 7 green balls. Two balls are drawn at random without replacement. What is the probability that one of them is white and the other is red?
$ \displaystyle \dfrac{1}{{6}}$
$ \displaystyle \dfrac{7}{{66}}$
$ \displaystyle \dfrac{5}{{66}}$
$ \displaystyle \dfrac{5}{{36}}$
None
20.
Three dice are rolled simultaneously. What is the probability of getting a sum of 5?
$ \displaystyle \dfrac{1}{{36}}$
$ \displaystyle \dfrac{1}{{27}}$
$ \displaystyle \dfrac{1}{{54}}$
$ \displaystyle \dfrac{1}{{72}}$
None
21.
Two cards are drawn at random from a well-shuffled deck of 52 playing cards without replacement. What is the probability that both are Jacks?
$ \displaystyle \dfrac{1}{{225}}$
$ \displaystyle \dfrac{1}{{221}}$
$ \displaystyle \dfrac{1}{{169}}$
$ \displaystyle \dfrac{1}{{340}}$
None
22.
Five coins are tossed simultaneously. What is the probability of getting at least four heads?
$ \displaystyle \dfrac{5}{{32}}$
$ \displaystyle \dfrac{7}{{32}}$
$ \displaystyle \dfrac{3}{{16}}$
$ \displaystyle \dfrac{1}{{18}}$
None
23.
Two dice are rolled simultaneously. What is the probability of getting a sum of 9 or 10?
$ \displaystyle \dfrac{1}{{12}}$
$ \displaystyle \dfrac{5}{{36}}$
$ \displaystyle \dfrac{1}{{6}}$
$ \displaystyle \dfrac{7}{{36}}$
None
24.
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?
$ \displaystyle \dfrac{12}{{55}}$
$ \displaystyle \dfrac{18}{{55}}$
$ \displaystyle \dfrac{24}{{55}}$
$ \displaystyle \dfrac{36}{{55}}$
None
25.
Three cards are drawn at random from a well-shuffled deck of 52 playing cards without replacement. What is the probability that exactly two of them are face cards (Jack, Queen, King)?
$ \displaystyle \dfrac{15}{{1020}}$
$ \displaystyle \dfrac{2}{{85}}$
$ \displaystyle \dfrac{9}{{52}}$
$ \displaystyle \dfrac{3}{{85}}$
None
1 out of 25
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