There are 4 jacks and 13 clubs in a standard, 52-card deck of playing cards. What is the probability that a card picked at random from a standard deck of playing cards is a club or a jack?

A. 7/26
B. 4/13
C. 1/52
D. 3/13

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LammettHash LammettHash · Answer 1 · 2019-01-17T23:42:01+01:00

With 4 jacks in the deck of 52, there is a 4/52 = 1/13 probability of drawing 1 jack.

With 13 clubs in the deck, there is a 13/52 = 1/4 probability of drawing 1 card of clubs.

1 of the cards in the deck is both a jack and of suit of clubs, which has a 1/52 probability of being drawn.

P(club OR jack) = P(club) + P(jack) - P(club AND jack) = 13/52 + 4/52 - 1/52 = 16/52 = 4/13

So the answer is B.

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anjithaka anjithaka · Answer 2 · 2022-06-29T07:41:03+02:00

The probability that a card picked at random from a standard deck of playing cards is a club or a jack exists 4/13.

With 4 jacks in the deck of 52, there exists a

4/52 = 1/13 probability of drawing 1 jack.

With 13 clubs in the deck, there exists a

13/52 = 1/4 probability of drawing 1 card of clubs.

1 of the cards in the deck exists both a jack and a suit of clubs, which contains a 1/52 probability of being drawn.

P(club OR jack) = P(club) + P(jack) - P(club AND jack)

= 13/52 + 4/52 - 1/52

= 16/52

= 4/13

P(club OR jack) = 4/13.

The probability that a card picked at random from a standard deck of playing cards is a club or a jack exists 4/13.

Therefore, the correct answer is option B. 4/13.

To learn more about probability

https://brainly.com/question/13604758

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