Probability Challenge

What is the probability of rolling a 3 on a fair six-sided die?

• 1/3

• 1/4

• 1/5

• 1/6

Answer explanation

The probability of rolling a 3 on a fair six-sided die is 1/6 because there is only one favorable outcome (rolling a 3) out of six possible outcomes.

If you flip a coin 3 times, what is the probability of getting heads all 3 times?

• 0.75

• 0.5

• 0.25

• 0.125

Answer explanation

The probability of getting heads all 3 times when flipping a coin is 1/2 * 1/2 * 1/2 = 0.125, so the correct answer is 0.125.

If there are 5 red marbles, 3 blue marbles, and 2 green marbles in a bag, what is the probability of drawing a blue marble?

• 1/5

• 3/10

• 2/10

• 4/10

Answer explanation

The probability of drawing a blue marble is 3/10 since there are 3 blue marbles out of a total of 10 marbles in the bag (5 red + 3 blue + 2 green).

A spinner is divided into 8 equal sections, with 2 sections labeled 'win'. What is the probability of landing on 'win'?

• 1/6

• 1/4

• 1/2

• 1/8

Answer explanation

The spinner has 2 'win' sections out of 8 total sections, so the probability of landing on 'win' is 2/8 which simplifies to 1/4.

If you randomly select a card from a standard deck of 52 cards, what is the probability of selecting a heart?

• 1/4

• 1/3

• 1/5

• 1/2

Answer explanation

The probability of selecting a heart from a standard deck of 52 cards is 1/4 because there are 13 hearts in a deck of 52 cards (13/52 = 1/4).

In a class of 30 students, 15 are boys and 15 are girls. What is the probability of randomly selecting a girl?

• 0.25

• 0.5

• 1.0

• 0.75

Answer explanation

The probability of randomly selecting a girl from a class with 15 girls out of 30 students is 0.5, as it is the ratio of girls to total students.

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

• 1/6

• 1/3

• 1/12

• 1/8

Answer explanation

When rolling two dice, there are 6 possible outcomes that result in a sum of 7 out of a total of 36 outcomes. Therefore, the probability is 6/36, which simplifies to 1/6.

A bag contains 4 red marbles, 3 blue marbles, and 2 green marbles. What is the probability of drawing a red marble?

• 1/3

• 4/9

• 2/9

• 5/9

Answer explanation

The probability of drawing a red marble is the number of red marbles divided by the total number of marbles, which is 4/9.

If you spin a spinner with 4 equal sections labeled A, B, C, and D, what is the probability of landing on section C?

• 0.25

• 0.1

• 0.75

• 0.5

Answer explanation

The probability of landing on section C is 1 out of 4 equal sections, so it is 0.25 or 25%.

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

• 4/11

• 5/11

• 3/11

• 2/11

Answer explanation

There are 4 vowels (O, A, I, I) out of 11 letters in 'PROBABILITY', so the probability of selecting a vowel is 4/11.