A card is drawn from a well shuffled pack of 52 cards, what is the probability of not getting a heart card?
Question
A card is drawn from a well shuffled pack of 52 cards, what is the probability of not getting a heart card?
Solution
Step 1: Understand the total number of cards in a pack. In a standard pack, there are 52 cards.
Step 2: Identify the number of heart cards in the pack. There are 13 hearts in a standard pack (Ace through 10, and the Jack, Queen, and King).
Step 3: Calculate the probability of drawing a heart. This is the number of favorable outcomes (drawing a heart) over the total number of outcomes (drawing any card). So, the probability of drawing a heart is 13/52 = 1/4.
Step 4: The question asks for the probability of NOT drawing a heart. This is the complement of drawing a heart. The sum of the probabilities of all outcomes (drawing a heart and not drawing a heart) is 1. So, the probability of not drawing a heart is 1 - the probability of drawing a heart = 1 - 1/4 = 3/4.
So, the probability of not getting a heart card when drawing from a well shuffled pack of 52 cards is 3/4.
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