You are dealt one card from a 52-card deck. Find the probability that you are not dealt a ten
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Part 1
The probability is enter your response here
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(Type an integer or a fraction. Simplify your answer.)
There are 4 tens in a standard deck of 52 cards. Since you are only dealt one card, there are a total of 52 possible outcomes.
The number of outcomes where you are not dealt a ten is 52-4=48.
Therefore, the probability of not being dealt a ten is 48/52 or 12/13.
To find the probability of not being dealt a ten, we need to determine the number of non-ten cards and divide it by the total number of cards in the deck.
Step 1: Determine the number of non-ten cards in the deck.
Since there are 4 tens in a 52-card deck (one ten in each of the 4 suits - hearts, diamonds, clubs, and spades), the number of non-ten cards is 52 - 4 = 48.
Step 2: Find the total number of cards in the deck.
The total number of cards in a standard 52-card deck is 52.
Step 3: Calculate the probability.
The probability of not being dealt a ten is the ratio of the number of non-ten cards to the total number of cards:
Probability = Number of non-ten cards / Total number of cards
Probability = 48 / 52
Simplifying the fraction, we have:
Probability = 12 / 13
Therefore, the probability of not being dealt a ten is 12/13.