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Probability and Fraction Review Quiz

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

1/6

Explanation

1 out of 6 sides of the die represents a prime number.

If you flip a fair coin twice, what is the probability of getting two heads?

1/4

Explanation

There are 4 possible outcomes, and only one results in two heads.

A jar contains 10 red balls and 5 green balls. If you draw a ball randomly, what is the probability of not getting a green ball?

2/3

Explanation

There are 15 balls in total, and 10 of them are not green.

What is the probability of drawing a red card from a standard deck of 52 cards?

1/13

Explanation

There are 13 red cards out of 52 in a standard deck.

If you roll a fair six-sided die, what is the probability of getting an even number?

1/2

Explanation

Half of the numbers on a six-sided die are even.

If you roll a fair six-sided die, what is the probability of rolling a number greater than 4?

1/2

Explanation

Out of 6 sides, 2 represent numbers greater than 4.

If there are 5 red balls, 3 blue balls, and 4 green balls in a bag, what is the probability of drawing a blue ball?

3/12

Explanation

Out of 12 balls, 3 are blue, so the probability is 3 out of 12.

In a deck of 52 cards, what is the probability of drawing a heart or a diamond?

26/52

Explanation

There are 26 hearts and 13 diamonds in a deck of 52 cards.

If you roll two fair six-sided dice, what is the probability of getting a sum of 7?

1/3

Explanation

Out of 36 possible outcomes, 6 result in a sum of 7.

#10

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

7/8

Explanation

Only one outcome out of eight results in all tails.

#11

A box contains 5 red balls and 3 blue balls. If you randomly draw two balls without replacement, what is the probability that both balls are blue?

3/20

Explanation

The probability of drawing a blue ball and then another blue ball is (3/8) * (2/7).

#12

If you randomly select a letter from the word 'PROBABILITY', what is the probability that it is a vowel?

3/11

Explanation

There are 3 vowels out of 11 letters in the word 'PROBABILITY'.

#13

If you flip a fair coin four times, what is the probability of getting exactly three heads?

1/16

Explanation

Calculated using combinations - C(4,3)/2^4.

#14

You have a bag with 6 red balls and 4 blue balls. If you draw two balls without replacement, what is the probability of getting one red ball and one blue ball?

1/2

Explanation

There are 6 ways to choose a red ball and 4 ways to choose a blue ball out of 10 total.

#15

A bag contains 6 white balls and 4 black balls. If you draw two balls with replacement, what is the probability of getting two black balls?

4/25

Explanation

Probability of drawing a black ball is 4/10, and drawing it twice is (4/10) * (4/10).

#16

You have a bag with 8 red balls, 5 blue balls, and 3 green balls. If you draw two balls with replacement, what is the probability of getting two blue balls?

25/49

Explanation

Probability of drawing a blue ball is 5/16, and drawing it twice is (5/16) * (5/16).

#17

In a group of 20 people, what is the probability that at least two people share the same birthday?

0.85

Explanation

Calculated using the Birthday Paradox.

#18

If you roll two fair six-sided dice, what is the probability of getting a sum of 9?

1/12

Explanation

There are 4 combinations that result in a sum of 9 out of 36 possible outcomes.

#19

In a group of 25 students, what is the probability that at least two students share the same birth month?

0.80

Explanation

Calculated using the Birthday Paradox.

#20

You have a bag with 10 white balls, 5 black balls, and 3 red balls. If you draw three balls with replacement, what is the probability of getting two white balls and one black ball?

25/72

Explanation

Probability of drawing a white ball is 10/18, and drawing it twice is (10/18) * (10/18). Probability of drawing a black ball is 5/18.

Probability and Fraction Review Quiz

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

If you flip a fair coin twice, what is the probability of getting two heads?

A jar contains 10 red balls and 5 green balls. If you draw a ball randomly, what is the probability of not getting a green ball?

What is the probability of drawing a red card from a standard deck of 52 cards?

If you roll a fair six-sided die, what is the probability of getting an even number?

If you roll a fair six-sided die, what is the probability of rolling a number greater than 4?

If there are 5 red balls, 3 blue balls, and 4 green balls in a bag, what is the probability of drawing a blue ball?

In a deck of 52 cards, what is the probability of drawing a heart or a diamond?

If you roll two fair six-sided dice, what is the probability of getting a sum of 7?

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

A box contains 5 red balls and 3 blue balls. If you randomly draw two balls without replacement, what is the probability that both balls are blue?

If you randomly select a letter from the word 'PROBABILITY', what is the probability that it is a vowel?

If you flip a fair coin four times, what is the probability of getting exactly three heads?

You have a bag with 6 red balls and 4 blue balls. If you draw two balls without replacement, what is the probability of getting one red ball and one blue ball?

A bag contains 6 white balls and 4 black balls. If you draw two balls with replacement, what is the probability of getting two black balls?

You have a bag with 8 red balls, 5 blue balls, and 3 green balls. If you draw two balls with replacement, what is the probability of getting two blue balls?

In a group of 20 people, what is the probability that at least two people share the same birthday?

If you roll two fair six-sided dice, what is the probability of getting a sum of 9?

In a group of 25 students, what is the probability that at least two students share the same birth month?

You have a bag with 10 white balls, 5 black balls, and 3 red balls. If you draw three balls with replacement, what is the probability of getting two white balls and one black ball?

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