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 \(\boxed{\frac{2}{13}}\).