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Class 9 Practice Level 3 – Set 2 – Probability
Total questions: 15
1.
Four dice are rolled simultaneously. What is the probability of getting a sum of 24?
$ \displaystyle \dfrac{1}{{1296}}$
$ \displaystyle \dfrac{1}{{7776}}$
$ \displaystyle \dfrac{1}{{216}}$
$ \displaystyle \dfrac{1}{{36}}$
None
2.
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 Queens?
$ \displaystyle \dfrac{1}{{270725}}$
$ \displaystyle \dfrac{1}{{178365}}$
$ \displaystyle \dfrac{1}{{5525}}$
$ \displaystyle \dfrac{1}{{1326}}$
None
3.
A bag contains 6 red, 5 blue, and 7 green balls. Four balls are drawn at random without replacement. What is the probability that exactly three of them are green?
$ \displaystyle \dfrac{7}{{85}}$
$ \displaystyle \dfrac{21}{{221}}$
$ \displaystyle \dfrac{35}{{258}}$
$ \displaystyle \dfrac{5}{{154}}$
None
4.
Three dice are rolled simultaneously. What is the probability of getting a sum of 4?
$ \displaystyle \dfrac{1}{{54}}$
$ \displaystyle \dfrac{1}{{216}}$
$ \displaystyle \dfrac{1}{{72}}$
$ \displaystyle \dfrac{1}{{36}}$
None
5.
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 from the same suit?
$ \displaystyle \dfrac{1}{{850}}$
$ \displaystyle \dfrac{3}{{663}}$
$ \displaystyle \dfrac{1}{{221}}$
$ \displaystyle \dfrac{1}{{132}}$
None
6.
A bag contains 5 red, 6 blue, and 4 yellow balls. Three balls are drawn at random without replacement. What is the probability that none of them is red?
$ \displaystyle \dfrac{2}{{19}}$
$ \displaystyle \dfrac{7}{{38}}$
$ \displaystyle \dfrac{1}{{11}}$
$ \displaystyle \dfrac{3}{{19}}$
None
7.
Two dice are rolled simultaneously. What is the probability of getting at least one 4?
$ \displaystyle \dfrac{7}{{36}}$
$ \displaystyle \dfrac{5}{{18}}$
$ \displaystyle \dfrac{11}{{36}}$
$ \displaystyle \dfrac{1}{{6}}$
None
8.
Five coins are tossed simultaneously. What is the probability of getting at most one head?
$ \displaystyle \dfrac{1}{{4}}$
$ \displaystyle \dfrac{3}{{16}}$
$ \displaystyle \dfrac{5}{{32}}$
$ \displaystyle \dfrac{3}{{32}}$
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 Kings?
$ \displaystyle \dfrac{1}{{221}}$
$ \displaystyle \dfrac{1}{{169}}$
$ \displaystyle \dfrac{1}{{340}}$
$ \displaystyle \dfrac{1}{{204}}$
None
10.
A bag contains 6 red, 8 blue, and 7 yellow balls. Four balls are drawn at random without replacement. What is the probability that two are red and two are yellow?
$ \displaystyle \dfrac{56}{{969}}$
$ \displaystyle \dfrac{21}{{238}}$
$ \displaystyle \dfrac{15}{{247}}$
$ \displaystyle \dfrac{7}{{198}}$
None
11.
Four dice are rolled simultaneously. What is the probability of getting a sum of 10?
$ \displaystyle \dfrac{27}{{1296}}$
$ \displaystyle \dfrac{125}{{7776}}$
$ \displaystyle \dfrac{27}{{216}}$
$ \displaystyle \dfrac{18}{{1296}}$
None
12.
Six coins are tossed simultaneously. What is the probability of getting exactly five heads?
$ \displaystyle \dfrac{15}{{64}}$
$ \displaystyle \dfrac{1}{{32}}$
$ \displaystyle \dfrac{5}{{64}}$
$ \displaystyle \dfrac{3}{{32}}$
None
13.
Three 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 Jack?
$ \displaystyle \dfrac{1}{{17}}$
$ \displaystyle \dfrac{3}{{52}}$
$ \displaystyle \dfrac{19}{{51}}$
$ \displaystyle \dfrac{21}{{52}}$
None
14.
A bag contains 4 red, 6 blue, and 5 yellow balls. Three balls are drawn at random without replacement. What is the probability that none of them is blue?
$ \displaystyle \dfrac{1}{{15}}$
$ \displaystyle \dfrac{2}{{35}}$
$ \displaystyle \dfrac{5}{{91}}$
$ \displaystyle \dfrac{6}{{65}}$
None
15.
Four dice are rolled simultaneously. What is the probability of getting all even numbers?
$ \displaystyle \dfrac{1}{{16}}$
$ \displaystyle \dfrac{1}{{64}}$
$ \displaystyle \dfrac{1}{{1296}}$
$ \displaystyle \dfrac{1}{{324}}$
None
1 out of 15
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