Suppose that in a lottery game you are to pick five different
integers between 1 and 50, including 1 and 50, and a sixth integer
between 1 and 40, including 1 and 40.
a) What is the probability that you win the jackpot where the first
five numbers that you picked match the five numbers drawn and the
sixth number you pick matches the sixth number drawn? b) What is
the probability of winning a smaller jackpot where you match
exactly three of the first five numbers and the sixth number, or
you match exactly four of the first five numbers but not the sixth
number?
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