A single card is drawn from a standard 52- card deck. Let D be the event that th

Question

A single card is drawn from a standard 52- card deck. Let D be the event that the card drawn is a diamond, and let F be the event thatthe card drawn is a face card. In problems 7-18, find the indicated probabilities. In a lottery game, a single ball is drawn at random from a container that contains 25 identical balls numbered from 1 through 25. In problems 19-24, use equation (1) or (2), indicating which is used, tocomp[ute the probability that the number drawn is: less than 6 or greater than 19 Divisible by 4 ordivible by 7 Divisible by 3 or divisible by 4

Explanation / Answer

7.

There are 13 diamonds, so

P(D) = 13/52 = 0.25 [ANSWER]

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8.

There are 12 face cards (3 for each suit), so

P(F) = 12/52 = 0.230769231 [ANSWER]

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9.

P(F') = 1 - P(F) = 0.769230769 [ANSWER]

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10.

P(D') = 1 - P(D) = 0.75 [ANSWER]

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