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Mathematics, 31.12.2021 18:40 ugh909

A deck of cards contains 30 cards with labels 1, 2, . . . , 30. Suppose that somebody is randomly dealt a set of 7 cards of these cards (numbered with seven distinct

numbers).

a) Find the probability that 3 of the cards contain odd numbers and 4 contain even

numbers.

b) Find the probability each of the numbers on the seven cards ends with a different

digit. (For example, the cards could be 3, 5, 14, 16, 22, 29, 30.)

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