Probability of Single Events — Year 8 Practice Questions
Work through these Year 8 practice questions on probability. Try each one before revealing the worked solution.
Questions
A fair coin is flipped. What is the probability of getting heads?
A fair six-sided dice is rolled. Find the probability of rolling a 5.
A fair dice is rolled. Find the probability of rolling an even number.
A bag has 4 red and 6 blue counters. Find the probability of picking a red counter.
The probability that it rains tomorrow is 0.3. Find the probability that it does not rain.
A spinner has outcomes with probabilities 0.2, 0.5 and x. Find x.
A bag has 5 green, 3 yellow and 2 white balls. Find the probability of picking yellow, as a percentage.
A letter is chosen at random from the word MATHS. Find the probability it is a vowel.
Answers & Worked Solutions
Question 1 Solution
Step 1: There is 1 head out of 2 equally likely outcomes.
Step 2: P(heads) = 1/2.
Answer: ½
Question 2 Solution
Step 1: There is 1 favourable outcome out of 6.
Step 2: P(5) = 1/6.
Answer: 1/6
Question 3 Solution
Step 1: Even numbers are 2, 4 and 6 — that is 3 outcomes out of 6.
Step 2: P(even) = 3/6 = 1/2.
Answer: ½
Question 4 Solution
Step 1: There are 4 red out of 10 counters in total.
Step 2: P(red) = 4/10 = 2/5.
Answer: 2/5
Question 5 Solution
Step 1: All probabilities add to 1.
Step 2: 1 − 0.3 = 0.7.
Answer: 0.7
Question 6 Solution
Step 1: The probabilities add up to 1.
Step 2: x = 1 − 0.2 − 0.5 = 0.3.
Answer: 0.3
Question 7 Solution
Step 1: There are 3 yellow out of 10 balls.
Step 2: P(yellow) = 3/10 = 0.3 = 30%.
Answer: 30%
Question 8 Solution
Step 1: MATHS has 5 letters; only A is a vowel.
Step 2: P(vowel) = 1/5.
Answer: 1/5
Build strong foundations in Probability of Single Events
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