1) James is a magician. He learned his magic tricks when he was 15 years old. Card tricks is what he loves to play. A) What is the probability that a randomly selected card is diamond from a standard deck of 52 cards?
Question
- James is a magician. He learned his magic tricks when he was 15 years old. Card tricks is what he loves to play. A) What is the probability that a randomly selected card is diamond from a standard deck of 52 cards?
Solution
A standard deck of 52 cards contains 4 suits: hearts, diamonds, clubs, and spades. Each suit has 13 cards: A, 2, 3, 4, 5, 6, 7, 8, 9, 10, J, Q, K. So, there are 13 diamonds in a deck.
Step 1: Identify a single event. In this case, we are looking for the event of drawing a diamond.
Step 2: Identify the total number of outcomes. In this case, the total number of cards in the deck is 52.
Step 3: Use the formula for probability to find the probability of drawing a diamond. The formula for probability is:
P(Event) = Number of favorable outcomes / Total number of outcomes
So, the probability of drawing a diamond is:
P(Diamond) = Number of diamonds / Total number of cards = 13 / 52 = 0.25 or 25%
So, the probability that a randomly selected card is a diamond from a standard deck of 52 cards is 0.25 or 25%.
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