A fair coin is flipped once. Write the probability of landing on heads as a fraction.
(1)
2
A bag contains 4 counters, all yellow. State the probability of picking a yellow counter at random.
(1)
3
A spinner has 10 equal sections numbered 1 to 10. Write the probability of the spinner landing on 7.
(1)
4
An event has a probability of 0. State whether the event is impossible, unlikely, even chance, likely or certain.
(1)
5
Convert the probability 3/4 to a percentage.
(1)
6
A fair six-sided die numbered 1 to 6 is rolled. Write the probability of rolling a number less than 1.
(1)
7
A bag has 10 counters: 4 red, 6 blue. Find the probability of picking a blue counter. Give your answer as a fraction in simplest form and as a decimal.
(2)
8
A spinner has 5 equal sections coloured red, blue, green, yellow and purple. Find the probability of NOT landing on red. Give your answer as a fraction and a percentage.
(2)
9
Put these probabilities in order, starting with the least likely: 55%, 0.3, 3/5, 1/2.
(2)
10
A box contains 20 chocolates: 5 dark, 15 milk. One is chosen at random. Find the probability it is dark. Give your answer as a fraction, a decimal and a percentage.
(2)
11
A fair 8-sided die is numbered 1 to 8 and rolled once. Find each probability.
(a)P(rolling a multiple of 4)(1)
(b)P(rolling a number greater than 8)(1)
12
A biased coin has P(Heads) = 0.3. Find P(Tails).
(2)
13
A fair spinner has 6 equal sections numbered 1 to 6. Find the probability that the spinner lands on an odd number or on the number 6. Give your answer as a fraction.
(2)
14
A fair coin is tossed and a fair 4-sided spinner numbered 1 to 4 is spun. Find the probability of getting tails on the coin and an even number on the spinner. Give your answer as a fraction.
(2)
15
A charity raffle sells 200 tickets. Grace buys 8 tickets. One winning ticket is drawn at random.
(a)Find the probability that Grace wins.(1)
(b)Grace buys 12 more tickets, so she now holds 20 tickets in total. Find her new probability of winning, giving your answer as a fraction in simplest form.(2)
16
A bag contains only green and yellow counters. The probability of picking a green counter at random is 0.35. There are 60 counters in the bag. Find the number of yellow counters in the bag.
(3)
17
A survey of 50 students asked whether they walk or cycle to school. 18 students cycle and the rest walk. A student is picked at random from those surveyed. Find the probability that the student walks. Give your answer as a fraction in simplest form and as a percentage.
(3)
18
A fair six-sided die is rolled twice. Find the probability that the die shows a 5 both times. Give your answer as a fraction.
(3)
19
A bag contains 5 red and 3 blue counters. Two counters are drawn at random, one after another, without replacement. Find the probability that both counters are red. Give your answer as a fraction in simplest form.
(3)
20
A biased spinner has three colours: red, blue and green. P(red) = 0.2 and P(blue) = 0.45. The spinner is spun once. Find P(green). Then find the probability that green occurs on each of two independent spins. Give your answer as a decimal.
(3)
Mark scheme · KS3.M-P2D Probability Scale and Simple Events: Fluency and Exam Drill
Question 1
B1 1/2 cao
Answer: 1/2
Question 2
B1 1 cao, with reason it is certain
Answer: 1
Question 3
B1 1/10 cao
Answer: 1/10
Question 4
B1 impossible cao
Answer: impossible
Question 5
B1 75% cao
Answer: 75%
Question 6
B1 0 cao, with reason it is impossible
Answer: 0
Question 7
M1 identify fraction 6/10
A1 3/5 and 0.6 cao
Answer: 3/5, 0.6
Question 8
M1 use complement: 4 sections out of 5 are not red
A1 4/5 and 80% cao
Answer: 4/5, 80%
Question 9
M1 convert all four values to a common form (e.g. decimals: 0.55, 0.3, 0.6, 0.5)