To determine the probability of not being dealt a heart from a standard 52-card deck, we first need to understand the composition of the deck. A standard deck consists of 52 cards, divided into four suits: hearts, diamonds, clubs, and spades. Each suit contains 13 cards.
Since there are 13 hearts in the deck, this means there are:
- 13 hearts
- 13 diamonds
- 13 clubs
- 13 spades
This gives a total of 39 cards that are not hearts (calculated as 52 total cards minus 13 hearts).
Now, to find the probability of drawing a card that is not a heart, we use the formula for probability:
Probability = (Number of favorable outcomes) / (Total number of outcomes)
In this case, the number of favorable outcomes (drawing a card that is not a heart) is 39, and the total number of outcomes (the total number of cards in the deck) is 52.
So, the probability can be calculated as follows:
Probability of not being dealt a heart = 39 / 52
This fraction simplifies to:
39 / 52 = 3 / 4
Thus, the probability of not being dealt a heart when drawing one card from a standard 52-card deck is 3/4, or 75%.