Problem 19
Question
You are dealt one card from a standard 52-card deck. Find the probability of being dealt a picture card.
Step-by-Step Solution
Verified Answer
The probability of being dealt a picture card from a 52-card deck is \( \frac{23}{100} \) or 0.23.
1Step 1: Determine total number of outcomes
There are 52 cards in a standard deck, so there are 52 outcomes when pulling a card from the deck.
2Step 2: Determine favorable outcomes
A picture card is either a Jack, Queen, or King. There are 4 cards of each type in every deck (one for each suit: hearts, diamonds, clubs, and spades). Therefore, there are \(4*3 = 12\) favorable outcomes.
3Step 3: Calculate the Probability
Probability is determined by dividing the number of favorable outcomes by the total number of outcomes. So, the probability of drawing a picture card from a deck is \( \frac{12}{52} = \frac{23}{100} \) when simplified down.
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