Question: An experiment consists of drawing 1 card from a standard 52-card deck. Let E be the event that card…

An experiment consists of drawing 1 card from a standard 52-card deck. Let E be the event that card drawn is a red card. Find P(E).

Solution

The problem involves finding the probability of drawing a red card from a standard 52-card deck. First, note that there are 26 red cards in a deck (hearts and diamonds). The total number of cards in the deck is 52. The probability of event \( E \) (drawing a red card) is given by the ratio of the number of favorable outcomes to the total number of outcomes. \[ P(E) = \frac{\text{Number of red cards}}{\text{Total number of cards}} = \frac{26}{52} \] Simplify the fraction: \[ P(E) = \frac{26}{52} = \frac{1}{2} \] So, the probability \( P(E) \) is \( \frac{1}{2} \).