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 2? The probability of drawing a 2 is (Type an integer or a simplified fraction.)

Solution

To find the probability of drawing a 2 from a standard 52-card deck, follow these steps: Identify the total number of cards in the deck. There are 52 cards in a standard deck. Identify the number of favorable outcomes. There are 4 twos in a deck (one for each suit: hearts, diamonds, clubs, and spades). Calculate the probability using the formula: \[ P(\text{drawing a 2}) = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} \] \[ P(\text{drawing a 2}) = \frac{4}{52} \] Simplify the fraction: \[ P(\text{drawing a 2}) = \frac{1}{13} \] The probability of drawing a 2 is \(\frac{1}{13}\).