Question 8, 11.5.23
HW Score: $50 \%, 9$ of 18 points
Points: 0 of 1
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Suppose you draw a card from a well-shuffled deck of 52 cards. What is the probability of drawing a 2 or a queen?
\[
\mathrm{P}(2 \text { or queen })=\square
\]
(Simplify your answer. Type an integer or a fraction.)

Step 1 ：Suppose you draw a card from a well-shuffled deck of 52 cards. We are asked to find the probability of drawing a 2 or a queen.

Step 2 ：The number of favorable outcomes is the sum of the number of 2s and queens in the deck. There are 4 twos and 4 queens, so the total number of favorable outcomes is \(4 + 4 = 8\).

Step 3 ：The total number of outcomes is the total number of cards in the deck, which is 52.

Step 4 ：The probability of an event is calculated by dividing the number of favorable outcomes by the total number of outcomes. So, the probability of drawing a 2 or a queen is \(\frac{8}{52}\).

Step 5 ：We simplify the fraction \(\frac{8}{52}\) to get the final answer.

Step 6 ：Final Answer: The probability of drawing a 2 or a queen is \(\boxed{\frac{2}{13}}\).