a classic deck of cards is made up of 52 cards, 26 are black, 26 are red. Each color is split into two suits of 13 cards each (clubs and spades are black and hearts and diamonds are red). Each suit is split into 13 individual cards (Ace, 2-10, Jack, Queen, and King). Leave answers as reduced fractions. If a card is randomly selected, what is the probability of drawing a(n) 9 of one suit?
Question
a classic deck of cards is made up of 52 cards, 26 are black, 26 are red. Each color is split into two suits of 13 cards each (clubs and spades are black and hearts and diamonds are red). Each suit is split into 13 individual cards (Ace, 2-10, Jack, Queen, and King). Leave answers as reduced fractions.
If a card is randomly selected, what is the probability of drawing a(n) 9 of one suit?
Solution
The probability of drawing a 9 of any suit from a standard deck of 52 cards can be calculated as follows:
Step 1: Identify the total number of outcomes. In this case, the total number of outcomes is the total number of cards in the deck, which is 52.
Step 2: Identify the number of successful outcomes. In this case, the successful outcome is drawing a 9 of any suit. Since there are 4 suits and each suit has one 9, there are 4 successful outcomes.
Step 3: Calculate the probability. The probability of an event is calculated by dividing the number of successful outcomes by the total number of outcomes.
So, the probability of drawing a 9 of any suit is 4 (the number of successful outcomes) divided by 52 (the total number of outcomes), which simplifies to 1/13.
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