How do you find the probability of not drawing a heart from a deck of cards?

The probability of not drawing a heart from a deck of cards is 39 out of 52.

To find the probability of not drawing a heart from a standard deck of 52 cards, you first need to know how many hearts are in the deck. A standard deck has 4 suits: hearts, diamonds, clubs, and spades. Each suit has 13 cards, so there are 13 hearts in the deck.

Next, you need to determine how many cards are not hearts. Since there are 52 cards in total and 13 of them are hearts, the number of cards that are not hearts is 52 - 13 = 39.

Probability is calculated by dividing the number of favourable outcomes by the total number of possible outcomes. In this case, the number of favourable outcomes (not drawing a heart) is 39, and the total number of possible outcomes (drawing any card) is 52. Therefore, the probability of not drawing a heart is 39/52.

To simplify this fraction, you can divide both the numerator and the denominator by their greatest common divisor, which is 13. So, 39 divided by 13 is 3, and 52 divided by 13 is 4. This simplifies the fraction to 3/4.

Therefore, the probability of not drawing a heart from a deck of cards can also be expressed as 3/4 or 0.75, which means there is a 75% chance of not drawing a heart.