Question

suppose we draw the top 7 cards from a well shuffled (randomized) standard deck of 52 cards, leaving 45 cards remaining in the deck. what is the probability we draw less than 3 red cards? round your answer to the second decimal.

Answer 1

The probability of drawing less than 3 red cards will be 3 / 14.

Total number of cards from the deck of cards = 52

Probability that a red card is drawn = 1 / 2

Probability of drawing 2 red cards:

P = 1 / 2 × 2 / 7

P = 1 / 7

Probability of drawing 1 red cards:

P = 1 / 2 × 1 / 7

P = 1 / 14

P (less than 3 red cards) = 1 / 7 + 1 / 14 = 3 / 14

Therefore, we get that, the probability of drawing less than 3 red cards will be 3 / 14.

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