In ‘Lotto’ (a National Lottery game) there are 49 balls, each having a distinct number from the set(adsbygoogle = window.adsbygoogle || []).push({});

S = {1, 2, . . . , 49}. A draw consists of randomly choosing six ‘main’ balls followed by one ‘bonus’

ball. To play the game you choose six distinct numbers from S before the draw, and you win a

prize if any of the following events occur. Calculate the probability of each.

(a) E6: your choice matches all six main numbers;

(b) E5 : your choice matches any five main numbers plus the bonus ball;

(c) En: your choice matches any n main numbers, for n = 5, 4 and 3;

for part (a), i know the sample space is '49 choose 6' but what is the event space?

and i dont know how to do the other two, can someone help please?

thank you

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# Probability: lottery

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