From a standard 52-card deck, what is the probability that a drawn card is a club or anything besides a face card?

Globokim8

Globokim8

Answered question

2021-05-03

From a standard 52-card deck, what is the probability that a drawn card is a club or anything besides a face card?

Answer & Explanation

gwibdaithq

gwibdaithq

Skilled2021-05-04Added 84 answers

Clubs account for 1/4 of the cards in the deck. Face cards (Jack, Queen King) account for 313 cards in each suit, leaving 1013 per suit.
The probability of the drawn card is as follows: P(Clubs)P(Facecard)P(Clubs)= 1352=14
P(Facecard)= 4052=1013
The union of the two possibilities is the possibility of the first, or the the second happening. If the possibilities overlap (a 6 of clubs for example), then that possibility is deducted in the second probability that is added.
P(Clubs)P(Facecard)=13/52+(40/5210/52)=13/52+30/52=43/52
Your answer is the sum of the clubs suit and the remaining non-face cards in the deck. 4352 cards

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