Mark selects one card randomly from a standard deck of cards. What is the probability that he will select either an even number or a heart?
To find the probability that Mark will select either an even number or a heart, we need to determine the number of favorable outcomes and the total number of possible outcomes.
First, let's consider the even numbers in a standard deck of cards. There are 4 even-numbered cards in each suit (2, 4, 6, and 8). Since there are four suits (hearts, diamonds, clubs, and spades), the total number of even-numbered cards is 4 * 4 = 16.
Next, let's consider the hearts in a standard deck of cards. There are 13 cards in each suit, so there are 13 hearts.
To avoid double-counting the 8 of hearts (since it is both an even number and a heart), we need to subtract 1 card from our count. Therefore, the total number of favorable outcomes (either an even number or a heart) is 16 + 13 - 1 = 28.
Now, let's calculate the total number of possible outcomes. In a standard deck, there are 52 cards.
Therefore, the probability of selecting either an even number or a heart is 28/52.
Simplifying the fraction, we get 7/13.
So, the probability that Mark will select either an even number or a heart is 7/13.