you are playing a card game with a full deck of 52 cards. you win if you draw a red card that is a multiple of 5. what are your chances of winning on your first draw?

There are two red cards in each suit that are multiples of ten: 5 and 10. There are two red suits: hearts and diamonds. Therefore there are four cards that are red AND multiples of 10. Your chances of drawing a red card that is a multiple of ten is then 4 out of 52. Reduce to get your chances.

To determine your chances of winning on your first draw, you need to find the number of favorable outcomes (red cards that are multiples of 5) and divide it by the total number of possible outcomes (cards in the deck).

First, let's find the number of favorable outcomes.

There are a total of 26 red cards in a deck (13 hearts and 13 diamonds).

Out of these red cards, the multiples of 5 are 5, 10, 15, 20, 25, and 30. So, there are a total of 6 favorable outcomes.

Now, let's find the total number of possible outcomes.

A standard deck of cards contains 52 cards.

Therefore, the total number of possible outcomes is 52.

To calculate the chances of winning on the first draw, divide the number of favorable outcomes (6) by the total number of possible outcomes (52), and convert it to a percentage.

(6 / 52) * 100 = 11.54%

So, your chances of winning on your first draw are approximately 11.54%.