Final answer:
The probability of drawing two cards of the same suit from a shuffled deck of cards is 12/221, or approximately 0.054.
Step-by-step explanation:
To find the probability that the first and second cards are of the same suit, we first need to determine the total number of ways we can draw 2 cards from a deck of 52 cards. There are 52 possible choices for the first card, and after the first card is drawn, there are 51 possible choices for the second card. So, the total number of possible outcomes is 52 * 51.
Next, we need to determine the number of favorable outcomes, which is the number of ways we can draw 2 cards of the same suit. There are 4 suits in a deck of cards, so for the first card, there are 13 possible choices from the same suit. After the first card is drawn, there are 12 remaining cards of the same suit for the second card. So, the number of favorable outcomes is 13 * 12.
Therefore, the probability of drawing 2 cards of the same suit is (13 * 12) / (52 * 51), which simplifies to 12 / 221, or approximately 0.054.