Questions: 1) What is the probability of selecting the king of hearts?

Solution Steps

To find the probability of selecting the king of hearts from a standard deck of 52 cards, we need to determine the number of favorable outcomes and divide it by the total number of possible outcomes. There is only one king of hearts in a deck of 52 cards.

A standard deck of cards contains 52 cards. Therefore, the total number of possible outcomes is: \[ \text{Total cards} = 52 \]

There is only one king of hearts in a standard deck of cards. Therefore, the number of favorable outcomes is: \[ \text{Favorable outcomes} = 1 \]

The probability \( P \) of selecting the king of hearts is given by the ratio of the number of favorable outcomes to the total number of possible outcomes: \[ P = \frac{\text{Favorable outcomes}}{\text{Total cards}} = \frac{1}{52} \]

Simplifying the fraction and converting it to a decimal: \[ P = \frac{1}{52} \approx 0.0192 \]

Final Answer