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Intermediate November 2018 Unit 1 Q17

WJECIntermediateCurrent spec5 marksBasic Probability

17. 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 throws 0·4, 400 throws 0·3, 600 throws 0·34, 800 throws 0·3, 1000 throws 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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