Exercises: Probability of Numbers
Work through each section in order. List the favourable numbers before counting them.
Recall / Warm-Up
What is the smallest possible value of a probability, and what does it mean?
0 — the event is impossible
1 — the event is certain
-1 — the event is negative
A fair die has sample space {1, 2, 3, 4, 5, 6}. How many outcomes are in the sample space, n(E)?
If P(A) = 1/4, what is P(not A) using the complement rule 1 − P(A)?
Fluency Practice
A fair die is rolled once. What is P(rolling a 5)? Give your answer as a fraction.
A fair die is rolled once. What is P(rolling a prime number)?
4/6, counting 1, 2, 3, 5 as the primes
3/6, counting only 2, 3, 5 as the primes, since 1 is not prime
2/6, counting only 2 and 3 as the primes
A fair die is rolled once. What is P(rolling a multiple of 3)? Give your answer as a fraction in simplest form.
Express the probability 3/10 as a decimal.
A spinner has numbers 1 to 10, all equally likely. What is P(rolling an even number)? Give your answer as a fraction in simplest form.
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