If one card is drawn from a deck find the probability of...

If one card is drawn from a deck, find the probability of getting these results. Enter your answers as fractions or as decimals rounded to 3 decimal places. (a) An Ace P(ace)= (b) An 8 and a spade P (8 and a spade)= (c) A club or a spade P (club or spade)=

Transcript

00:01 We're looking at probabilities for drawing one card from a deck.

00:04 So there's three different probabilities that we're looking at.

00:08 The first one is the probability of drawing an ace.

00:12 The second one is the probability of drawing an eight and a spade.

00:19 We'll talk about that one in just a second.

00:22 And then the third one is the probability of drawing a club or a spade.

00:32 So the first thing to know here is there's 52 cards in a deck and there's an equal number for each suit, things like that.

00:44 So when we're thinking about the probability of drawing an ace, for example, all of these are going to be out of, excuse me, let's not get out of ourselves.

00:53 This is going to be out of 52 cards.

00:54 We're drawing one card out of 52.

00:58 But when we think about drawing an ace, there's actually four.

01:00 There's a club, a spade, a heart, and a diamond.

01:04 So there's a probability of drawing an ace four out of 52 chances.

01:09 So that simplifies to just being one out of 13.

01:13 So the probability of drawing an ace is equal to one 13th.

01:17 Now for the second one, it says drawing an eight and a spade.

01:21 This is, it limits what we, what we're looking at here.

01:25 So if it was an eight all by itself, we'll be sort of like an ace.

01:29 There's four eights that are in.

01:31 In the deck...