Question: An experiment consists of drawing 1 card from a standard 52-card deck. What is the probability of…

An experiment consists of drawing 1 card from a standard 52-card deck. What is the probability of drawing a jack? The probability of drawing a jack is \boxed{\rule{20px}{20px}}. (Type an integer or a simplified fraction.)

Solution

To find the probability of drawing a jack from a standard 52-card deck, follow these steps: Identify the number of favorable outcomes. There are 4 jacks in a deck (one for each suit: hearts, diamonds, clubs, spades). Determine the total number of possible outcomes. In a standard deck, there are 52 cards. Use the probability formula: \[ \text{Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}} \] Substitute the known values: \[ \text{Probability} = \frac{4}{52} \] Simplify the fraction: \[ \text{Probability} = \frac{1}{13} \] The probability of drawing a jack is \( \frac{1}{13} \).