Probability Scale and Simple Events - Worksheets, Questions and Revision

18 original exam-style questions - 5 pages of questions with a full mark scheme - free printable PDF.

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KS3 · Probability

KS3.M-P2 Probability Scale and Simple Events

AQA KS3.M-P2 · Calculators not allowed · about 50 minutes
Name: _______________________________    Date: ____ / ____ / ______
Answer ALL questions. Show all your working.
1
Write each probability as a fraction, a decimal and a percentage.
(a)A coin is flipped. The probability of getting heads is 1/2. Write this as a decimal and a percentage.(1)
(b)A bag contains 1 red and 3 blue counters. The probability of drawing red is 1/4. Write this as a decimal and a percentage.(1)
(c)The probability of a particular student being chosen is 0.2. Write this as a fraction and a percentage.(1)
(d)A spinner has 5 equal sections. The probability of landing on a green section is 2/5. Write this as a decimal and a percentage.(1)
2
On a probability scale from 0 to 1, place these events at the correct point and state whether they are impossible, unlikely, even chance, likely or certain: a) rolling a 7 on a fair six-sided die, b) choosing a blue marble from a bag with 2 blue and 1 red marble.
(a)Rolling a 7 on a fair six-sided die.(1)
(b)Choosing a blue marble from a bag with 2 blue and 1 red marble.(1)
3
A bag contains 3 red, 2 green and 5 yellow counters. What is the probability of drawing a yellow counter? Give your answer as a fraction in simplest form, a decimal and a percentage.
(2)
4
A card is chosen at random from a small pack showing only numbers 1 to 8. What is the probability the number is even? Give your answer as a fraction and decimal.
(2)
5
Write these probabilities in order from least likely to most likely: 0.05, 1/10, 10%, 0.2
(2)
6
A spinner has 8 equal sections. 3 are blue and 5 are white. What is the probability of landing on white? Give your answer as a fraction in simplest form and as a percentage.
(2)
7
A class has 10 pupils. Two are called Priya, three called Noah, and five called other names. A name is picked at random. What is the probability the name is not Priya? Give your answer as a fraction and decimal.
(2)
8
A fair six-sided die is rolled once. Use the probability scale to label whether each outcome likelihood is impossible, unlikely, even chance, likely or certain, for: a) roll a 6, b) roll an even number, c) roll a 0.
(a)Roll a 6.(1)
(b)Roll an even number.(1)
(c)Roll a 0.(1)
9
A bag contains 4 blue, 1 red and 5 green counters. A counter is chosen at random. What is the probability it is blue or red? Give your answer as a fraction.
(2)
10
Sam spins a spinner with 10 equal parts labelled 1 to 10. What is the probability of spinning a number less than 4? Give your answer as a fraction and decimal.
(2)
11
A fair coin is tossed three times. What is the probability of getting exactly one head? Give your answer as a fraction.
(2)
12
A family has two children. Assuming boys and girls are equally likely, what is the probability that both children are girls? Give your answer as a fraction and percentage.
(2)
13
A bag has 6 marbles: 2 white, 2 black and 2 red. A marble is taken at random and then replaced before taking another. What is the probability of drawing white then red in that order? Give your answer as a fraction.
(2)
14
A bag contains 3 purple and 7 orange sweets. One sweet is taken at random. What is the probability it is purple? Then give the probability it is not purple as a fraction.
(2)
15
On a probability scale label the points for probabilities 0, 0.25, 0.5, 0.75 and 1 with the words impossible, unlikely, even chance, likely and certain respectively. Then state which of these is equivalent to 1/4.
(2)
16
A small pack contains only the cards A, B, C, D. A card is chosen at random. What is the probability of choosing a vowel? (Assume only letters shown.) Then give the probability of choosing a consonant.
(2)
17
A fair six-sided die is rolled once and a spinner with 4 equal sections (labelled 1 to 4) is spun once. What is the probability the die shows an even number and the spinner shows 3? Give your answer as a fraction and a decimal.
(3)
18
A bag contains 4 white, 3 black and 3 blue counters. Two counters are drawn one after the other without replacement. Work out the probability both are black. Give your answer as a fraction and as a decimal rounded to 3 decimal places.
(3)
Mark scheme · KS3.M-P2 Probability Scale and Simple Events

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Question 8

Question 9

Question 10

Question 11

Question 12

Question 13

Question 14

Question 15

Question 16

Question 17

Question 18