Class 9 Quiz Level 3 (Difficult) – Probability

Total questions: 10

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?

Deselect Answer

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

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

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

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

None

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?

Deselect Answer

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

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

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

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

None

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?

Deselect Answer

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

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

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

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

None

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

Deselect Answer

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

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

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

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

None

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?

Deselect Answer

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

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

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

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

None

Four dice are rolled simultaneously. What is the probability of getting a sum of 24?

Deselect Answer

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

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

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

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

None

Two dice are rolled simultaneously. What is the probability of getting at least one 4?

Deselect Answer

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

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

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

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

None

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?

Deselect Answer

$ \displaystyle \dfrac{7}{{85}}$

$ \displaystyle \dfrac{21}{{221}}$

$ \displaystyle \dfrac{35}{{258}}$

$ \displaystyle \dfrac{5}{{154}}$

None

Four dice are rolled simultaneously. What is the probability of getting all even numbers?

Deselect Answer

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

$ \displaystyle \dfrac{1}{{64}}$

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

$ \displaystyle \dfrac{1}{{324}}$

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?

Deselect Answer

$ \displaystyle \dfrac{56}{{969}}$

$ \displaystyle \dfrac{21}{{238}}$

$ \displaystyle \dfrac{15}{{247}}$

$ \displaystyle \dfrac{7}{{198}}$

None

1 out of 10

Class 9 Quiz Level 3 (Difficult) – Probability

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