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Higher November 2018 Unit 1 Q8

WJECHigherCurrent spec5 marksBasic Probability

8. A biased six-sided dice is thrown a total of 1000 times.
The graph shows the relative frequency of throwing a ‘six’ after 200, 400, 600, 800 and 1000 throws.

Graph of relative frequency of throwing a six against number of throws: 200 gives 0.4, 400 gives 0.3, 600 gives 0.34, 800 gives 0.3, 1000 gives 0.32
(a) Which of the following is the best estimate for the probability of throwing a ‘six’ with this dice?
Circle your answer. [1]

0·4     0·3     0·5     0·32     0·34

(b)
(i) How many ‘sixes’ were thrown in the first 600 throws of the dice? [2]
(ii) How many more ‘sixes’ were recorded for these 600 throws than you would expect when a fair six-sided dice is thrown 600 times? [2]
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