Class 10 Practice – Level 2 – Set 2 – Probability

Total questions: 25

Two cards are drawn from a well-shuffled deck of 52 cards. What is the probability that both cards are aces?

Topic: Drawing Two Cards from a Deck

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

$\displaystyle \dfrac{1}{{13}}$

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

None

Two dice are rolled. What is the probability that the sum of the numbers is 8?

Topic: Probability of Sum of Two Dice

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

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

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

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

None

What is the probability of drawing a face card (Jack, Queen, or King) from a deck of 52 cards?

Topic: Probability of Drawing Face Cards

$\displaystyle \dfrac{1}{{13}}$

$\displaystyle \dfrac{3}{{13}}$

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

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

None

If two cards are drawn from a well-shuffled deck of 52 cards, what is the probability that both cards are red?

Topic: Probability of Drawing a Red Card

$\displaystyle \dfrac{13}{{102}}$

$\displaystyle \dfrac{25}{{102}}$

$\displaystyle \dfrac{26}{{51}}$

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

None

Two coins are tossed. What is the probability of getting at least one head?

Topic: Probability of Getting At Least One Head

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

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

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

$\displaystyle \dfrac{3}{{4}}$

None

Two dice are rolled. What is the probability that the sum of the numbers is 4 or 6?

Topic: Probability of a Compound Event

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

$\displaystyle \dfrac{2}{{9}}$

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

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

None

Two cards are drawn from a well-shuffled deck of 52 cards. What is the probability that both are kings?

Topic: Probability of Drawing Two Kings

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

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

$\displaystyle \dfrac{2}{{13}}$

$\displaystyle \dfrac{1}{{13}}$

None

Two dice are rolled. What is the probability that the sum of the numbers is less than 5?

Topic: Probability of Rolling Sum Less Than 5

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

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

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

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

None

Two dice are rolled. What is the probability that both numbers are greater than 3?

Topic: Probability of Rolling a Number Greater Than 3

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

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

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

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

None

10.

A die is rolled. What is the probability of getting a number less than 3?

Topic: Probability of Rolling a Number Less Than 3

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

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

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

$\displaystyle \dfrac{2}{{3}}$

None

11.

Two dice are rolled. What is the probability that the sum of the numbers is an even number?

Topic: Probability of Rolling an Even Sum

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

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

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

$\displaystyle \dfrac{2}{{3}}$

None

12.

What is the probability of drawing two red cards consecutively from a deck of 52 cards without replacement?

Topic: Probability of Drawing Two Red Card

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

$\displaystyle \dfrac{25}{{102}}$

$\displaystyle \dfrac{13}{{51}}$

$\displaystyle \dfrac{26}{{51}}$

None

13.

Two dice are rolled. What is the probability of getting doubles (same number on both dice)?

Topic: Probability of Rolling Doubles

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

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

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

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

None

14.

Two dice are rolled. What is the probability that the sum of the numbers is greater than 9?

Topic: Probability of Rolling a Sum Greater Than 9

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

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

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

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

None

15.

A card is drawn from a deck of 52 cards. What is the probability that it is a face card, given that it is a black card?

Topic: Conditional Probability of Drawing a Face Card

$\displaystyle \dfrac{1}{{13}}$

$\displaystyle \dfrac{3}{{13}}$

$\displaystyle \dfrac{1}{{26}}$

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

None

16.

Two dice are rolled. What is the probability of getting at least one even number?

Topic: Probability of Rolling at Least One Even Number

$\displaystyle \dfrac{3}{{4}}$

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

$\displaystyle \dfrac{5}{{6}}$

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

None

17.

If two cards are drawn randomly from a deck of 52 cards, what is the probability that both are black?

Topic: Probability of Drawing Two Black Cards

$\displaystyle \dfrac{25}{{102}}$

$\displaystyle \dfrac{13}{{51}}$

$\displaystyle \dfrac{26}{{51}}$

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

None

18.

If two cards are drawn from a well-shuffled deck of 52 cards, what is the probability that both are red cards?

Topic: Probability of Drawing Two Red Card

$\displaystyle \dfrac{13}{{102}}$

$\displaystyle \dfrac{25}{{102}}$

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

$\displaystyle \dfrac{13}{{51}}$

None

19.

What is the probability of drawing either a heart or a spade from a well-shuffled deck of 52 cards?

Topic: Probability of Drawing a Heart or a Spade

$\displaystyle \dfrac{1}{{26}}$

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

$\displaystyle \dfrac{1}{{13}}$

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

None

20.

Two dice are rolled. What is the probability of getting two even numbers?

Topic: Probability of Rolling Two Even Numbers

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

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

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

$\displaystyle \dfrac{2}{{3}}$

None

21.

What is the probability of rolling a prime number on a single die?

Topic: Probability of Rolling a Prime Number

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

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

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

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

None

22.

Two dice are rolled. What is the probability that both numbers are odd?

Topic: Probability of Rolling Two Odd Numbers

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

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

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

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

None

23.

What is the probability of rolling a number greater than 4 on a die?

Topic: Probability of Rolling a Number Greater Than 4

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

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

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

$\displaystyle \dfrac{5}{{2}}$

None

24.

What is the probability of drawing a black face card from a well-shuffled deck of 52 cards?

Topic: Probability of Drawing a Black face Cards

$\displaystyle \dfrac{3}{{13}}$

$\displaystyle \dfrac{3}{{26}}$

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

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

None

25.

Two dice are rolled. What is the probability of getting an odd sum?

Topic: Probability of Rolling an Odd Number

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

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

$\displaystyle \dfrac{2}{{3}}$

$\displaystyle \dfrac{5}{{6}}$

None

1 out of 25

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Class 10 Practice – Level 2 – Set 2 – Probability

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