Probability
Name:
Teacher:
Skills Check (5)
Exam question 1 (5)
Target Grade:
Exam question 2 (16)
Score:
Grade:
Target:
Skills Check:
a) If the probability of winning a computer game is 3⁄14, what is the chance of losing?
.
b) Draw the shape of a Venn diagram for two mutually exclusive events, A and B.
c) On a biased dice, the chance of rolling a 3 twice in a row is 4⁄25. What is the
chance of rolling a single 3?
d) What is the multiplication rule for two independent events?
e) Draw a tree diagram to represent flipping a fair coin twice.
Exam Question 1
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Exam Question 2
2) One of the objectives of a computer game is to collect keys. There are three stages to the game.
The probability of collecting a key at the first stage is
third stage is
(a)
2
1
, at the second stage is , and at the
3
2
1
.
4
Draw a tree diagram to represent the 3 stages of the game.
(4)
(b)
Find the probability of collecting all 3 keys.
(2)
(c)
Find the probability of collecting exactly one key in a game.
(5)
(d)
Calculate the probability that keys are not collected on at least 2 successive stages in a
game.
(5)
(Total 16 marks)
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