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End-of-unit review

End-of-unit review

1 Six coins are spun together. There can be up to six heads. Number of heads 6 5 4
The table shows the probabilities of different numbers
of heads. Probability 0.02 0.09 0.23
Find the probability of scoring fewer than:
a 6 heads b 5 heads c 4 heads.
2 Mia throws five dice. Number of sixes 0 1 2
The table shows the probabilities for the number of sixes.
Find the probability of scoring: Probability 0.40 0.40 0.16
a at least 1 six b at least 2 sixes c more than 2 sixes.

3 Two identical spinners have five sections numbered 1, 2, 3, 4 and 5.
a Draw a sample space diagram.
b Find the probability that the difference between the numbers is:
i 0 ii 1 iii 2.
c Find the probability that the product of the numbers is:
i more than 9 ii less than 9 iii equal to 9.
4 Zalika spins a coin and throws a dice with eight faces numbered from 1 to 8.
a Draw a sample space diagram.
b Find the probability of scoring:
i a head and an even number
ii a tail and a prime number
iii a head but not an 8.

5 Ahmad has two attempts to score a basket in
basketball. He tries this 25 times. The table Baskets scored 2 1 0
shows the results. Frequency 10 8 7
a Find the probability that Ahmad will score:
i two baskets ii at least one basket.
Hassan gets these results from 40 tries. Baskets scored 2 1 0
b Find the probability that Hassan scores at at least Frequency 20 15 5
one basket.
c Who is better? Give a reason for your answer.

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