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Probability and Likelihood Worksheet
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Probability and Likelihood Worksheet
Read each question carefully. Give probabilities as simplified fractions unless another form is requested. For the spinner questions, treat every section as equally sized.
Describing Likelihood
1.Match each event to the best description: impossible, unlikely, an even chance, likely or certain.
- Picking a blue counter from a bag containing only red counters
- Landing on red when a fair spinner has 2 red sections and 2 yellow sections
- Picking a green counter from a bag with 8 green counters and 1 purple counter
- Rolling a number greater than 4 on a fair six-sided die
- Getting a number from 1 to 6 when rolling a fair six-sided die
- An even chance
- Certain
- Unlikely
- Impossible
- Likely
2.A jar has 6 orange beads, 4 white beads and 2 black beads. Without looking, which colour bead is most likely to be picked?
- Orange
- White
- Black
- All colours are equally likely
3.A spinner has 7 equal sections: 4 are purple, 2 are green and 1 is orange. Select every statement that is true.
- Purple is the most likely colour.
- Orange cannot be spun.
- Green is more likely than orange.
- Purple has an even chance.
- Orange is less likely than purple.
Calculating Probability
4.A fair six-sided die has faces numbered 1 to 6. What is the probability of rolling an odd number? Give your answer as a simplified fraction.
5.A standard pack contains 52 cards, including 13 clubs. If one card is selected at random, what is the probability it is a club? Give a simplified fraction.
6.A box holds 15 fruit chews: 6 apple, 5 raspberry and 4 lime. Find each probability as a simplified fraction: picking an apple chew; picking a raspberry or lime chew; picking a banana chew.
7.A fair six-sided die is rolled. Mark the probability of getting a number less than 3 on the number line from 0 to 1.
Reasoning and Challenge
8.A fair coin is tossed twice. What is the probability of getting at least one tail? Show how you worked it out.
9.A fair spinner has 12 equal sections: 5 are blue, 4 are red and 3 are yellow. What is the probability of landing on red or yellow? Give a simplified fraction.
10.Explain why a probability cannot be less than 0 or greater than 1. Include what 0 and 1 mean.
3 printable pages
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