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Grade 8 Probability
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Grade 8 Probability
Show your working for written questions. Give exact fractions where possible; convert to decimals or percentages when asked.
Multiple choice
Choose the best answer for each question.
1.A pouch contains 6 yellow counters, 2 purple counters and 4 white counters. One counter is chosen at random. What is the probability it is purple?
- 1/6
- 1/3
- 1/4
- 1/2
2.A fair six-sided die is rolled once. What is the probability of not rolling a 2?
- 1/6
- 2/3
- 5/6
- 1/2
3.A fair spinner has 10 equal sectors numbered 1 to 10. What is the probability of landing on a number greater than 7?
- 3/10
- 7/10
- 1/5
- 1/2
4.Two fair coins are tossed. What is the probability of getting two different results, one head and one tail?
- 1/4
- 1/2
- 3/4
- 1
Short answer
Write calculations and explain your reasoning where requested.
5.At a club with 30 members, 18 members chose swimming as their favourite activity. Write the probability of a randomly selected member choosing swimming as a simplified fraction, decimal and percentage.
6.A fair die is rolled 72 times and lands on 4 on 15 of those rolls. Find (a) the experimental probability of rolling a 4, (b) the theoretical probability, and (c) one reason the probabilities may differ.
7.One card is drawn at random from a standard 52-card deck. What is the probability that it is a diamond or a queen?
8.A bag contains 6 green and 4 orange beads. Two beads are selected one after the other without replacement. Find the probability that both beads are green. Show the probabilities for each draw.
9.A survey of 50 students found that 28 play netball, 21 play tennis and 9 play both. Complete a two-way table for playing and not playing each sport, then find the probability that a randomly selected student plays netball but not tennis.
Tennis
Not tennis
Total
Netball
Not netball
Total
Challenge
Use clear working to support your answers.
10.A prize is hidden behind one of three closed boxes. You choose Box A. A presenter who knows where the prize is opens Box C to show it is empty. The prize is not in Box A. Should you change your choice to Box B? Explain using probability.
11.Events A and B are independent, with P(A) = 0.35 and P(B) = 0.2. Calculate (a) P(A and B), (b) P(A or B), and (c) the probability that neither event occurs.
12.A fair coin is tossed five times. Find the probability of getting at least two heads.
4 printable pages
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