You are dealt one card from a 52-card deck. Find the probability that you are not dealt an ace.
48/52 = 12/13
There are four aces in a pack of 52 cards so 48/85 = 0.923 or 12/13 or 0.923 chance of not getting an ace
To find the probability of not being dealt an ace, we need to determine the number of favorable outcomes (being dealt a non-ace card) and the total number of possible outcomes (being dealt any card from a 52-card deck).
There are 4 aces in a standard deck of 52 cards, so the number of favorable outcomes (not being dealt an ace) is equal to 52 (total number of cards) minus 4 (number of aces), which is 48.
The total number of possible outcomes is 52 since we are considering all cards in the deck.
Therefore, the probability of not being dealt an ace is calculated by dividing the number of favorable outcomes by the total number of possible outcomes:
Probability = Number of Favorable Outcomes / Total Number of Possible Outcomes
= 48 / 52
= 12 / 13
So, the probability of not being dealt an ace is 12/13.
To find the probability of not being dealt an ace, we first need to determine the number of favorable outcomes and the total number of possible outcomes:
1. Number of favorable outcomes:
Since there are 4 aces in a deck of 52 cards, the number of favorable outcomes (being dealt a non-ace card) will be 52 - 4 = 48.
2. Total number of possible outcomes:
Since you are dealt one card from a 52-card deck, the total number of possible outcomes equals 52.
Now, we can calculate the probability of not being dealt an ace:
Probability = (Number of favorable outcomes) / (Total number of possible outcomes)
Probability = 48 / 52
To simplify the fraction, we can divide both the numerator and the denominator by their greatest common divisor, which is 4:
Probability = (48/4) / (52/4)
Probability = 12 / 13
Therefore, the probability of not being dealt an ace is 12/13 or approximately 0.9231.