If you are dealt 4 cards from a shuffled deck of 52 cards...

Transcript

00:02 Okay, with this one, we're going to find the probability of each of these cards and then multiply them together.

00:07 So the first thing we need to do is recognize that there are three picture cards in every suit.

00:12 Right? there's the jack, the queen, and the king.

00:16 All right, so there's three per suit and there's four suits.

00:19 So there are 12 picture cards in the deck.

00:22 All right.

00:22 So the probability in our first draw of drawing a picture card is 12 out of 52.

00:28 All right.

00:29 And then the next one that we're going to draw is going to be 11.

00:32 Because we've drawn one already out of 51 and then the next one is going to be 10 out of 50 and then the last one is going to be nine out of 49 all right because each time we're drawing a card and so there are there's one fewer card in the whole deck and then there's one fewer face card every time we draw a face card out all right so that is our uh our probabilities here let's go ahead and reduce some of these fractions, okay? 10 goes into 50, right there, no problem.

01:06 And then we have that, well, 12 and 52 are both even.

01:11 So that's going to be, well, actually, i think they're both multiples of six or multiples of four also.

01:16 I'm going to say 52 divided by four.

01:19 Yes, okay.

01:20 So this is going to be three, a four goes into 12, three times, and a four goes into 52, 13 times.

01:29 Okay.

01:30 Now let's see, is there anything else that can reduce? i am not sure.

01:35 I think 49 is prime.

01:37 I think 13 is prime.

01:39 I think 3 is prime.

01:40 11 is prime.

01:41 All right.