If you randomly select a card from a well-shuffled standard deck of 52 cards, what is the probability that the card you select is a heart or 10?
of the 52 cards, how many are a heart or a 10?
To calculate the probability of drawing a heart or a 10 from a standard deck of 52 cards, we first need to determine the number of favorable outcomes (cards that are hearts or 10s) and the total number of possible outcomes (all the cards in the deck).
There are 4 hearts in a deck and there are 4 10s (10 of hearts, 10 of diamonds, 10 of clubs, 10 of spades). However, we need to be careful not to double count the 10 of hearts since it is both a heart and a 10. Therefore, there are 4 hearts and 3 additional 10s, giving us a total of 7 favorable outcomes.
The total number of cards in a standard deck is 52.
Therefore, the probability of selecting a heart or a 10 can be calculated as:
Probability = (Number of favorable outcomes) / (Total number of possible outcomes)
= 7 / 52
= 0.1346 (rounded to four decimal places)
≈ 13.46%
So, the probability of randomly selecting a card that is a heart or a 10 from a well-shuffled standard deck of 52 cards is approximately 13.46%.