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

You want to know probability the Jack will NOT be drawn = 12/13

1/13 = probability Jack will be drawn.

thank you so much for answering this for me.

Here is another ?. Would this be the answer?

A student claims that if a fair coin is tossed and comes
up heads 5 times in a row, then, according to the law
of averages, the probability of tails on the next toss
is greater than the probability of heads. What is your
reply?

No matter what comes up or how often you get heads, the chance for each individual throw is always the same -- 1 chance out of 2.

To find the probability of the event "A jack is not drawn," we need to determine the number of favorable outcomes and the number of possible outcomes.

In a standard deck of 52 cards, there are 4 jacks, so there are indeed 48 cards that are not jacks. Therefore, the number of favorable outcomes is 48.

The total number of possible outcomes is 52 since there are 52 cards in the deck.

To calculate the probability, we divide the number of favorable outcomes by the number of possible outcomes:

Probability = (Number of Favorable Outcomes) / (Number of Possible Outcomes)
= 48 / 52

Simplifying this fraction, we get:
Probability = 12 / 13

So, the probability of not drawing a jack from a standard deck of 52 cards is 12/13.