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The Lotto 3/45 winning ticket is a randomly selected set of 3 integers in the interval [1, 45]

Math Jan 30, 2023

The Lotto 3/45 winning ticket is a randomly selected set of 3 integers in the interval [1, 45].
(a) Mark favourite number is 37. What is the probability that the winning ticket contains 37?
Explain your answer.

Mark managed to alter the way Lotto 3/45 selects its winning ticket so that 37 is twice as
likely to be selected than every other number. What is the probability that this (baised) winning
ticket contains 37? Explain your answer.
Advice: Work from definitions of experiment, outcome, event and probability.

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