A card is drawn from a standard deck of 52 cards. What is the probability that the card is a diamond or a king?

this problem, we're told that a card is drawn from a standard deck of 52 cards, and we wanna know the probability that that card is either a diamond or a king. Now these events are not mutually exclusive because they can happen at the same time. There is a card in a standard deck of 52 that is both a diamond and a king. So because of that, we need to make sure that we take that into account when calculating this probability. So here, I'm going to refer to drawing a diamond as event a and drawing a king as event b. So So we want to find the probability of a or b occurring. And our formula for that, knowing that these are non mutually exclusive events, is the probability of a plus the probability of b minus that intersection, the probability of a and b. Now I know that the probability of drawing a diamond is 13 out of 52 because there are 13 diamonds in a standard deck of 52 cards. And the probability of drawing a king might event b is 4 out of 52 because there are 4 kings in a standard deck of 52. Then as for that intersection, the probability of a and b occurring, there is only 1 card in a standard deck that is both a diamond and a king, so that's what I'm going to be subtracting here. 1 over 52. Now adding and subtracting all of these fractions together, 13 over 52 plus 4 over 52 will give me 17 over 52, and then subtracting that 1 will give me 16 over 52 for that probability. Now as a decimal, I could report this as being a probability of 0.31. So the probability that that card drawn from my standard deck of 52 is a diamond or a king is about 0.31. Thanks for watching, and I'll see you in the next one.