This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Step 1: Determine the total number of possible outcomes. A standard pack of cards contains 52 cards. When one card is drawn, the total number of possible outcomes is 52. n(S) = 52 Step 2: Determine the number of favorable outcomes. We want to find the probability of drawing the King of Spades. In a standard deck of 52 cards, there is only one King of Spades. n(E) = 1 Step 3: Calculate the probability. The probability of an event is given by the formula: P(E) = Number of favorable outcomesTotal number of possible outcomes P(King of Spades) = (n(E))/(n(S)) = (1)/(52) Step 4: Match the result with the given options. The calculated probability is (1)/(52). Comparing this with the given options: A. (1)/(13) B. (1)/(26) C. (1)/(52) D. (4)/(13) The correct option is C. The final answer is C