Probability in Random Events Quiz

Test your understanding of probability theory with these questions on random events and calculate the likelihood of various outcomes.

#1

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

1/6
1/4
1/3
1/2
#2

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

1/4
1/2
3/4
1/3
#3

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?

1/4
1/5
2/5
1/3
#4

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

1/9
1/6
1/4
1/3
#5

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

1/12
1/9
1/6
1/4
#6

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

3/13
3/26
1/13
1/4
#7

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

1/13
1/4
1/2
1/3
#8

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

1/2
1/4
26/52
13/52
#9

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

1/6
1/12
1/9
1/7
#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?

3/10
2/3
4/5
1/2
#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
3/20
7/24
1/6
#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?

1/10
3/20
3/10
1/5
#13

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

1/8
1/4
1/2
7/8
#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?

7/14
7/20
35/56
3/8
#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?

4/12
7/12
9/12
3/12
#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?

33/406
55/406
77/406
121/406
#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?

1/11
5/11
3/11
7/11
#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?

3/10
2/15
1/6
1/5
#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
2/15
3/15
1/15

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