Probability and Chance Experiments Quiz

What is the probability of getting a 3 when rolling a standard 6-sided die?

• 1/2

• 1/4

• 1/3

• 1/6

Answer explanation

The probability of getting a 3 when rolling a standard 6-sided die is 1/6 because there is only one 3 on the die out of a total of six possible outcomes.

Which term describes the probability of an event that is impossible?

• 0

• 0.5

• 0.25

• 1

Answer explanation

The term that describes the probability of an event that is impossible is 0, as the probability of an impossible event occurring is 0.

What is the probability of getting heads on a fair coin toss?

• 0.5

• 1

• 0

• 0.25

Answer explanation

The probability of getting heads on a fair coin toss is 0.5, as there are two equally likely outcomes (heads or tails), making it a 50% chance.

What is the sum of the probabilities of all outcomes in a chance experiment?

• 2

• 1

• 0

• 0.5

Answer explanation

The sum of the probabilities of all outcomes in a chance experiment is always 1, as the total probability of all possible outcomes must equal 1.

Which of the following is an example of a simple event?

• Obtaining a head on a single toss of a coin

• Obtaining two heads on two tosses of a coin

• Rolling a 3 or 4 on a 6-sided die

• Drawing two aces from a deck of cards

Answer explanation

Obtaining a head on a single toss of a coin is an example of a simple event because it involves only one outcome.

What is the term used to describe the list of all possible outcomes in a chance experiment?

• Sample space

• Probability space

• Outcome list

• Event list

Answer explanation

The term used to describe the list of all possible outcomes in a chance experiment is called the sample space.

Which of the following words is used to describe an event that has a high chance of occurring?

• Likely

• Impossible

• Unlikely

• Certain

Answer explanation

The word 'Likely' is used to describe an event that has a high chance of occurring, making it the correct choice in this context.

What is the probability of an event that must occur?

• 1

• 0

• 0.5

• 0.25

Answer explanation

The probability of an event that must occur is always 1, as it is certain to happen.

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

• 1/2

• 1/4

• 1/3

• 1/6

Answer explanation

The probability of drawing a red card from a standard deck of 52 cards is 1/2 because there are 26 red cards out of the total 52 cards.

What is the probability of getting an even number when rolling a standard 6-sided die?

• 1/2

• 1/3

• 1/4

• 1/6

Answer explanation

The probability of getting an even number on a standard 6-sided die is 1/2 because there are 3 even numbers (2, 4, 6) out of a total of 6 possible outcomes.