From a deck of 52 playing cards; 5 card at to be drawn

Answer 1

I will assume that you mean 52 standard deck playing cards, and that we are drawing a single five card from the deck, what probability will that be?

We can find the answer by figuring out how many five cards are in the deck and dividing it by the total number of playing cards in the deck.

There are 4 suits with 1 card of each number or type in the deck, which means that there are 4 five cards.

We then divide this number by the total number of playing cards, which will be 4/52, or 4/13, which is approximately 30.77%.

To go a bit further, if you wanted to draw two cards without replacement and wanted to find the probability that they were both fives, you would find the probability of pulling the first five, then multiply that by the probability of pulling the second five. This would be 4/52 times 3/51 (we subtract one five card and one card from the total), giving us 12/2652, which is also 1/221, or about .4525%. Very low odds!