The probability of drawing 1 specific card (e.g. Queen of Hearts) is:
That is 1 desired outcome divided by all of the possible outcomes, 52.
Wanting to draw a Queen or a Jack has 8 desired outcomes (4 Queens and 4 Jacks) divided by all of the possible outcomes, 52.
A fundamental principle of probability is that the probability all of the desired outcomes and the probability of all of the undesired outcomes must add up to 1.
Note: the bar indicates NOT drawing a Queen or a Jack.
We can use this fact to find the probability of not drawing a Queen or Jack:
See a solution process below:
There are 8 cards you cannot get - 1 of 4 queens and 1 of 4 jacks.
Therefore there are
There is an 11/13 chance of getting something other than a queen or a jack.
There is an approximately 84.6% chance of getting neither a queen or a jack.