Question

one card is randomly selected from a standard deck of 52 cards. what is the probability of randomly selecting a(n) jack or 10? enter your answer as a reduced fraction.

Explanation:

Step1: Count favorable outcomes

There are 4 Jacks and 4 tens in a deck. So, the number of favorable outcomes is $4 + 4=8$.

Step2: Calculate probability

The probability $P$ of an event is given by the formula $P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$. The total number of outcomes is 52 (since there are 52 cards in a deck). So, $P = \frac{8}{52}$.

Step3: Reduce the fraction

Reduce $\frac{8}{52}$ by dividing both the numerator and denominator by their greatest - common divisor, which is 4. $\frac{8\div4}{52\div4}=\frac{2}{13}$.

Answer:

$\frac{2}{13}$