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Question
a deck of cards contains 52 cards. these cards consist of four suits (hearts, spades, clubs, and diamonds) of each of the following: 2, 3, 4, 5, 6, 7, 8, 9, 10, jack, queen, king, and ace. if a card is chosen from a deck of cards, find the probability of drawing a 7.
the probability of drawing a 7 is
(type a whole number or a simplified fraction.)
Step1: Identify favorable outcomes
There are 4 cards with number 7 (one in each suit).
Step2: Identify total outcomes
There are 52 cards in a deck.
Step3: Calculate probability
The probability formula is $P(A)=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$. So $P = \frac{4}{52}=\frac{1}{13}$.
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$\frac{1}{13}$