GCSE Maths Probability

What is the probability of rolling a 5 on a fair six-sided die?

• 1/4

• 1/2

• 1/6

• 1/3

If you have a bag with 4 red marbles, 3 blue marbles, and 2 green marbles, what is the probability of drawing a red marble?

• 1/3

• 5/9

• 4/9

• 2/9

A spinner is divided into 8 equal sections, numbered 1 to 8. What is the probability of spinning a number greater than 5?

• 1/4

• 3/8

• 2/5

• 5/8

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

• 1/2

• 1/3

• 1/4

• 1/8

Explain the difference between theoretical and experimental probability.

• Theoretical probability is used in real-life situations, while experimental probability is only used in theoretical scenarios.

• Theoretical probability is always accurate, while experimental probability is often inaccurate.

• Theoretical probability is based on what should happen, while experimental probability is based on what actually happens through repeated trials.

• Theoretical probability is based on past events, while experimental probability is based on future events.

Draw a tree diagram to represent the probability of rolling a 3 on a fair six-sided die and then flipping a coin and getting tails.

• Bar graph

• Line chart

• Tree diagram

• Venn diagram

If events A and B are independent, what is P(A and B)?

• P(A) * P(B)

• P(A) + P(B)

• P(A) - P(B)

• P(A) / P(B)

If events C and D are dependent, and P(C) = 0.4 and P(D|C) = 0.3, what is P(C and D)?

• 0.7

• 0.12

• 0.2

• 0.25

A bag contains 5 red balls and 3 green balls. If you draw 2 balls without replacement, what is the probability of drawing 2 red balls?

• 1/5

• 3/14

• 2/8

• 5/14

In a game, the probability of winning is 0.3. If you play the game 5 times, how many times can you expect to win?

• 0.5

• 3

• 2.5

• 1.5