If 2 cards (without replacement) are selected from a standard deck of cards. Find the probability of getting:A Heart and A Club (in exact order)
Question
If 2 cards (without replacement) are selected from a standard deck of cards.
Find the probability of getting: A Heart and A Club (in exact order)
Solution
Sure, here's how you can calculate the probability:
Step 1: Understand the problem A standard deck of cards has 52 cards: 13 hearts, 13 clubs, 13 diamonds, and 13 spades.
Step 2: Calculate the probability of drawing a heart first The probability of drawing a heart first is the number of hearts divided by the total number of cards, which is 13/52 or 1/4.
Step 3: Calculate the probability of drawing a club second After drawing a heart first, there are now 51 cards left. So, the probability of drawing a club second is the number of clubs divided by the new total number of cards, which is 13/51.
Step 4: Calculate the overall probability The overall probability of these two independent events happening in order is the product of their individual probabilities. So, the probability of drawing a heart first and then a club is (1/4) * (13/51) = 13/204 or approximately 0.0637 or 6.37%.
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