Question

you are dealt one card from a standard 52 - card deck. find the probability of being dealt a two. click the icon to view a description of a standard deck of playing cards. the probability of being dealt a two is \\(\square\\). (type an integer or a simplified fraction.)

Explanation:

Step1: Determine total number of cards

A standard deck has 52 cards, so total possible outcomes \( n = 52 \).

Step2: Determine number of two - cards

In a standard deck, there are 4 twos (one for each suit: hearts, diamonds, clubs, spades), so favorable outcomes \( m = 4 \).

Step3: Calculate probability

Probability \( P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}=\frac{m}{n}=\frac{4}{52} \). Simplify the fraction by dividing numerator and denominator by 4: \( \frac{4\div4}{52\div4}=\frac{1}{13} \).

Answer:

\(\frac{1}{13}\)