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Probability in Random Events Quiz

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What is the probability of rolling a 6 on a fair six-sided die?

1/6

Explanation

There is 1 favorable outcome (rolling a 6) out of 6 possible outcomes.

If you flip a fair coin twice, what is the probability of getting exactly one head?

3/4

Explanation

There are 3 favorable outcomes (HT, TH, HH) out of 4 possible outcomes.

A jar contains 10 red marbles, 6 blue marbles, and 4 green marbles. If one marble is drawn at random, what is the probability it is green?

1/5

Explanation

There is 1 green marble out of 5 marbles in total.

If you roll a fair six-sided die twice, what is the probability that both rolls result in even numbers?

1/4

Explanation

There is 1 favorable outcome (even number on each roll) out of 4 possible outcomes.

If you roll two fair six-sided dice, what is the probability that the sum of the numbers rolled is 9?

1/6

Explanation

There is 1 way to get a sum of 9 out of 36 possible outcomes.

In a standard deck of 52 playing cards, what is the probability of drawing a face card (jack, queen, or king)?

3/26

Explanation

There are 3 face cards in each suit, making a total of 12 face cards out of 52 cards.

If you randomly select a card from a standard deck of 52 cards, what is the probability that it is a spade?

1/4

Explanation

There are 13 spades out of 52 cards in total.

In a deck of 52 playing cards, what is the probability of drawing a red card?

1/2

Explanation

There are 26 red cards out of 52 cards in total.

If two dice are rolled, what is the probability of getting a sum of 7?

1/12

Explanation

There are 6 ways to get a sum of 7 out of 36 possible outcomes.

#10

In a class of 30 students, 18 study Mathematics, 15 study Physics, and 12 study both subjects. What is the probability that a randomly chosen student studies at least one of the subjects?

4/5

Explanation

There are 30 students, and 24 of them study at least one subject.

#11

A bag contains 5 red balls and 7 blue balls. If two balls are drawn at random without replacement, what is the probability that both balls are blue?

5/24

Explanation

There are 5 blue balls out of 24 balls in total after the first draw.

#12

A bag contains 5 black balls, 3 white balls, and 2 green balls. If two balls are drawn at random without replacement, what is the probability that both balls are white?

1/5

Explanation

There is 1 white ball out of 5 balls in total after the first draw.

#13

If you flip a fair coin three times, what is the probability of getting at least one head?

7/8

Explanation

The only case not resulting in heads is TTT, so there are 7 favorable outcomes out of 8 possible outcomes.

#14

A committee of 5 people is to be formed from a group of 8 men and 6 women. What is the probability that the committee consists of 3 men and 2 women?

7/20

Explanation

There are 7 ways to choose 3 men and 2 women out of 20 possible combinations.

#15

You have a bag containing 5 red balls, 4 blue balls, and 3 green balls. If one ball is drawn at random, what is the probability it is not blue?

7/12

Explanation

There are 7 non-blue balls out of 12 balls in total.

#16

In a group of 40 people, 22 are men and 18 are women. If 5 people are selected at random, what is the probability that 3 of them are men and 2 are women?

55/406

Explanation

There are 55 ways to choose 3 men and 2 women out of 406 possible combinations.

#17

In a box, there are 4 red balls, 3 green balls, and 5 blue balls. If three balls are drawn at random, what is the probability that exactly two are blue?

3/11

Explanation

There are 3 ways to choose 2 blue balls out of 11 possible combinations.

#18

A box contains 3 red balls, 2 blue balls, and 5 green balls. If two balls are drawn at random without replacement, what is the probability that one is red and the other is blue?

2/15

Explanation

There are 2 ways to choose 1 red and 1 blue ball out of 15 possible combinations.

#19

A box contains 4 red balls, 5 blue balls, and 6 green balls. If three balls are drawn at random without replacement, what is the probability that all three balls are of different colors?

4/15

Explanation

There are 4 ways to choose one ball of each color out of 15 possible combinations.

Probability in Random Events Quiz

What is the probability of rolling a 6 on a fair six-sided die?

If you flip a fair coin twice, what is the probability of getting exactly one head?

A jar contains 10 red marbles, 6 blue marbles, and 4 green marbles. If one marble is drawn at random, what is the probability it is green?

If you roll a fair six-sided die twice, what is the probability that both rolls result in even numbers?

If you roll two fair six-sided dice, what is the probability that the sum of the numbers rolled is 9?

In a standard deck of 52 playing cards, what is the probability of drawing a face card (jack, queen, or king)?

If you randomly select a card from a standard deck of 52 cards, what is the probability that it is a spade?

In a deck of 52 playing cards, what is the probability of drawing a red card?

If two dice are rolled, what is the probability of getting a sum of 7?

In a class of 30 students, 18 study Mathematics, 15 study Physics, and 12 study both subjects. What is the probability that a randomly chosen student studies at least one of the subjects?

A bag contains 5 red balls and 7 blue balls. If two balls are drawn at random without replacement, what is the probability that both balls are blue?

A bag contains 5 black balls, 3 white balls, and 2 green balls. If two balls are drawn at random without replacement, what is the probability that both balls are white?

If you flip a fair coin three times, what is the probability of getting at least one head?

A committee of 5 people is to be formed from a group of 8 men and 6 women. What is the probability that the committee consists of 3 men and 2 women?

You have a bag containing 5 red balls, 4 blue balls, and 3 green balls. If one ball is drawn at random, what is the probability it is not blue?

In a group of 40 people, 22 are men and 18 are women. If 5 people are selected at random, what is the probability that 3 of them are men and 2 are women?

In a box, there are 4 red balls, 3 green balls, and 5 blue balls. If three balls are drawn at random, what is the probability that exactly two are blue?

A box contains 3 red balls, 2 blue balls, and 5 green balls. If two balls are drawn at random without replacement, what is the probability that one is red and the other is blue?

A box contains 4 red balls, 5 blue balls, and 6 green balls. If three balls are drawn at random without replacement, what is the probability that all three balls are of different colors?

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