A standard 52-card deck is well shuffled. What is the probability of drawing a card that is a 10 or a jack in a single draw?

• A. $\frac{4}{13}$
• B. $\frac{1}{26}$
• C. $\frac{1}{13}$
• D. $\frac{2}{13}$

Answer: (D)

Verified step by step guidance

1. Identify the total number of cards in the deck, which is 52.
2. Determine the number of favorable outcomes: count how many cards are 10s and how many are jacks. Since there are 4 suits, there are 4 tens and 4 jacks, so total favorable cards = 4 + 4.
3. Calculate the probability of drawing a 10 or a jack by dividing the number of favorable cards by the total number of cards in the deck. Use the formula: \(\text{Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}\).
4. Substitute the values into the formula: \(\text{Probability} = \frac{4 + 4}{52}\).
5. Simplify the fraction to its lowest terms to express the final probability.