What is the probability of picking a card between 3 and 6 out of a standard deck of playing cards?

Answer 1

As phrased, this is a bit of a trick question. Each of 4 suits in a standard deck contains 2 cards between 3 and 6 (the 4 and 5 cards), for a total of 8 cards between 3 and 6. Thus the probability of any pick being a 4 or 5 is 8 out of 52, or 2:13.

If the questioner actually meant to ask about cards "from 3 to 6", which would include the 3 and 6, the odds double to 16 out of 52, or 4:13.

Answer 2

6.37%.

The probability of an event is simply the number of favorable outcomes divided by the number of possible outcomes. The probability of two events in sequence is the product of the two probabilities on their own.

The first step is figuring out the individual probabilities.

• The chance that you'll first draw a heart from the deck is 1/4: There are 52 cards in the deck, there are 13 hearts in the deck, and 13/52 = 1/4.
• The chance that you'll next draw a spade from the deck is 13/51: There are now only 51 cards in the deck, since you already took a heart out.

Now that we have the individual probabilities, we just multiply them.

1/4 * 13/51 = 13/204

This would look much nicer as a percentage, so we'll multiply by 100 and report the answer as a decimal:

13/204 * 100 = 6.37%

Thus, there is a 6.37% chance that you will draw a heart followed by a spade from a shuffled deck of cards.

Answer 3

The probability of choosing a six of spades from a pack of cards is 1 in 52.

Answer 4

It depends on how many cards there are. Please be more specific with your question

Answer 5

There are 52 possible cards to draw, 8 of which are either 4s or 6s. 8/52, or roughly 15% is the answer. Assuming, of course, that all 52 cards are still in the deck.

Answer 6

13

Answer 7

4/52=1/13