Question

you randomly select one card from a 52 - card deck. find the probability of selecting a red ten or a red two. click the icon to view a description of a standard deck of playing cards. the probability is . (type an integer or a fraction. simplify your answer.)

Explanation:

Step1: Determine number of favorable outcomes

In a standard 52 - card deck, red cards are hearts and diamonds. There is a red ten in hearts and a red ten in diamonds, and a red two in hearts and a red two in diamonds. So the number of favorable outcomes is 4.

Step2: Calculate the 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 when selecting one card from a 52 - card deck is 52. So $P = \frac{4}{52}=\frac{1}{13}$.

Answer:

$\frac{1}{13}$