Printable · GCSE Foundation · ages 14-16

Possibility spaces for single and combined events worksheet — GCSE Foundation

Fifteen questions on "possibility spaces for single and combined events" — DfE statement P7. Print it, or print three versions so neighbours cannot copy by letter; the key gives the letter for each version.

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Possibility spaces for single and combined events worksheet — GCSE Foundation

Maths · GCSE Foundation · P7 · Possibility spaces for single and combined events · 15 questions

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1.A café offers 3 types of sandwich, cheese, ham and egg, and 4 types of drink, tea, coffee, juice and water. A customer chooses one sandwich and one drink at random. Work out the probability that the customer chooses egg and water.
(a)1/7
(b)1/3
(c)1/4
(d)1/12
2.In a board game Mia moves forward by the total of two ordinary fair dice. Work out the probability that her total is 7. Give your answer as a fraction in its simplest form.
(a)1/6
(b)6/11
(c)1/7
(d)7/36
3.Two fair four-sided dice, numbered 1 to 4, are rolled and the two scores are added together. Work out the probability that the total is 5.
(a)1/16
(b)1/4
(c)1/8
(d)3/16
4.A fair four-sided dice, numbered 1 to 4, is rolled twice. Every outcome is listed as an ordered pair, first roll then second roll, such as (2, 3). Work out how many different outcomes are in the list.
(a)16
(b)8
(c)10
(d)4
5.A raffle has two independent draws. In the first, a winning ticket is picked at random from 5 red tickets and 3 blue tickets. In the second, a winning number is picked using a fair spinner with 4 equal sections, numbered 1 to 4. Work out the probability that the first winning ticket is blue and the second winning number is greater than 2.
(a)5/16
(b)1/2
(c)3/8
(d)3/16
6.Spinner E has 4 equal sections, numbered 1 to 4. Spinner F has 6 equal sections, numbered 1 to 6. Both spinners are spun once. Work out the probability of getting at least one 3.
(a)3/8
(b)1/4
(c)5/12
(d)5/8
7.A padlock code is formed by arranging three different digits chosen from 2, 3, 4 and 5, with no digit repeated. Work out how many different three-digit codes can be made.
(a)64
(b)12
(c)6
(d)24
8.Spinner C has 3 equal sections, numbered 2, 3 and 5. Spinner D has 6 equal sections, numbered 1 to 6. Both spinners are spun once, and the two numbers are multiplied together. Work out the probability that the product is a multiple of 5.
(a)4/9
(b)1/3
(c)1/9
(d)1/2
9.Two ordinary fair dice are rolled and the two scores are added together. Work out the probability that the total is a prime number.
(a)13/36
(b)19/36
(c)7/18
(d)5/12
10.A fair coin is flipped and a fair three-sided spinner, labelled X, Y and Z, is spun. Every outcome is listed as a pair, such as (H, X). Work out the probability that the outcome is a head and Z.
(a)1/2
(b)1/6
(c)1/3
(d)1/5
11.Two ordinary fair dice are rolled and the two scores are multiplied together. Work out the probability that the product is odd.
(a)3/4
(b)1/2
(c)1/12
(d)1/4
12.A pack contains 6 cards, numbered 1 to 6. A card is drawn at random from the pack, and a fair coin is flipped. Work out the probability of drawing an even-numbered card and the coin landing on tails.
(a)1/8
(b)1/4
(c)1/12
(d)1/2
13.Jack rolls two ordinary fair dice and adds the two scores together. Work out the probability that the total is 6.
(a)5/36
(b)5/12
(c)4/36
(d)1/11
14.Two ordinary fair dice are rolled. Work out the probability that both dice show the same score.
(a)1/3
(b)1/6
(c)1/36
(d)1/2
15.Two ordinary fair dice are rolled. Work out the probability that the difference between the two scores is 1.
(a)1/4
(b)1/6
(c)5/36
(d)5/18

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