# How do you calculate possible combinations?

## How do you calculate possible combinations?

The formula for combinations is generally n! / (r! (n — r)!), where n is the total number of possibilities to start and r is the number of selections made. In our example, we have 52 cards; therefore, n = 52. We want to select 13 cards, so r = 13.

## How many outcomes are there in 10 football matches?

By induction, each new game increases the number of potential outcomes by a factor of three. So for ten games, it is 310, which is about 59,000.

**How many combinations of cards are possible?**

There are 52 cards in each deck, meaning that the total possible combinations would equal 52! (52 factorial) which is equal to 8.06e+67. This number is MASSIVE. So massive that I really doubt that many people would be able to wrap their heads around it without explanation.

### What is the probability of a red face card?

What is the probability of drawing a red card or a face card? = 32 52 ≈ 0.6154 . Problem 5. A five card hand is drawn from a standard deck of 52 cards.

### What is the probability of picking a card that was red or black?

If the first two cards were both black, then there are 26 red cards out of 50 total when we draw the third card, so there is a 2650=1325 chance it is red.

**What is the probability of drawing a king or a queen?**

First, the probability of drawing a king at the first draw is 4/52=1/13. Conditionally on a king being drawn on the first draw, the probability of drawing a queen at the second draw is 4/51. Therefore, probability of drawing sequence KQ is 1/13*(4/51)=4/663.

## What is the probability of not drawing a queen?

You pick one card at random. What is the probability of not picking a queen? This one is a bit confusing. 4/52=1/13 is the probability of picking a queen.