Question

you are dealt one card from a 52-card deck. find the probability that you are not dealt a seven. click the icon to view a description of a standard deck of playing cards. the probability is \boxed{}. (type an integer or a fraction. simplify your answer.)

Explanation:

Step1: Find number of sevens

A standard deck has 4 sevens (one for each suit: hearts, diamonds, clubs, spades).

Step2: Find number of non - seven cards

Total cards = 52. Number of non - seven cards = \(52 - 4=48\).

Step3: Calculate probability

Probability of not getting a seven is the number of non - seven cards divided by total number of cards. So \(P=\frac{48}{52}\). Simplify the fraction by dividing numerator and denominator by 4: \(\frac{48\div4}{52\div4}=\frac{12}{13}\).

Answer:

\(\frac{12}{13}\)