One card is selected at random from an ordinary set of 52
cards. Find the probability of each of the following events:
d. A jack is not drawn
would the answer be:48/52 since you subtract 4 from 52 for the four jacks and simplify to get 12/13 or do you say 4/52 and simplify to get 1/13
To find the probability of an event, you need to divide the number of favorable outcomes by the total number of possible outcomes.
In this case, there are a total of 52 cards in the deck, and you are interested in the event of not drawing a jack.
To determine the number of favorable outcomes, you correctly identified that there are 4 jacks in the deck. Therefore, the number of favorable outcomes is 52 - 4 = 48.
Hence, the probability of not drawing a jack is 48/52.
Now, we can simplify this fraction by dividing both the numerator and denominator by their greatest common divisor, which is 4.
48 divided by 4 equals 12, and 52 divided by 4 equals 13.
So, the simplified probability is 12/13.
Therefore, the probability of not drawing a jack is indeed 12/13, not 1/13.