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Q: Probability of picking one red card of a deck of 52 playing cards?

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The probability of picking a diamond out of a standard deck of 52 cards is 13 in 52, or 1 in 4, or 0.25.

There are 12 picture cards in a 52-card deck, so 12/52 which simplifies to 3/13, or 23.1%

The probability that a single card, drawn at random, is a 9 is 1/13.

If you pick 37 cards without replacement, or pick a card from the bottom of a mint deck, the probability is 1: it is a certainty. If you pick a random card from a deck, then the probability is 4/13.

To determine the probability of picking 3 cards of one suit and 1 card of another in a standard 52 card deck, consider each card one at a time. The probability of picking a card in any suit is 52 in 52, or 1. Since there are now only 12 cards in the first suit, the probability of picking a card in the same suit is 12 in 51, or 4 in 17, or 0.2353. Since there are now only 11 cards in the first suit, the probability of picking a card in the same suit is 11 in 50, or 0.22. Since there are still 39 cards in the remaining three suits, the probability of picking a card in a suit different than the first is 39 in 49, or 0.7959. The probability of picking 3 cards of one suit and 1 card of another in a standard 52 card deck is, therefore, the product of the probabilities of each card, or (52 in 52) (12 in 51) (11 in 50) (39 in 49), or 267696 in 6497400, or 0.0412, or about 1 in 25.

Related questions

If it is an ordinary pack of playing cards then the probability is 0.5

there is a 50% probability that you will pick a black card out of a full pack of playing cards

For a single card, picked at random from a well shuffled normal pack the probability is 3/13.

The probability of picking a diamond out of a standard deck of 52 cards is 13 in 52, or 1 in 4, or 0.25.

3 out of 13

There are 12 picture cards in a 52-card deck, so 12/52 which simplifies to 3/13, or 23.1%

12/52nd

The probability that a single card, drawn at random, is a 9 is 1/13.

1/52

In a normal deck of cards, it is 1.

It is 1/4.

It is 3/13.

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