Question

you randomly select one card from a 52-card deck. find the probability of selecting a red ten or a black three.
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: Count favorable outcomes

In a standard deck, there are 2 red tens (hearts, diamonds) and 2 black threes (clubs, spades). Total favorable cards: $2 + 2 = 4$

Step2: Define total possible outcomes

Total cards in a deck: $52$

Step3: Calculate probability

Probability = $\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$ = $\frac{4}{52}$

Step4: Simplify the fraction

Divide numerator and denominator by 4: $\frac{4\div4}{52\div4} = \frac{1}{13}$

Answer:

$\frac{1}{13}$