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Find each probability if 13 cards are drawn from a standard deck of cards and no replacement occurs.$P(\text { no kings })$

0.304

Intro Stats / AP Statistics

Algebra

Chapter 12

Probability and Statistics

Section 4

Multiplying Probabilities

Sampling and Data

The Normal Distribution

Introduction to Combinatorics and Probability

Campbell University

Oregon State University

University of Michigan - Ann Arbor

Lectures

01:32

In mathematics, the absolu…

01:11

01:57

Find each probability if 1…

02:09

02:46

Two cards are drawn from a…

01:36

01:40

02:02

Three cards are drawn from…

00:41

01:35

Four cards are drawn from …

01:19

this problem wants us to calculate the probability of being no kings when drawing 13 cards with no replacement for a standard deck of cards. Eso these This is ah, Israel dependent events depending on the draw before. So we're gonna have 13 fractions or 13 probabilities. Okay, we're going to find the pattern here. So the first draw is out of 52 cards and there are 48 cards which were not kings and therefore kings in the debt. And then as we draw, uh, our denominators denominator will count down. 52 51 50 49 48 7654321 40. Okay, And then our memories will count down as well. It's our last number will be 36 and we can Ah, simple like counting in multiply like this were used factorial so you can just plug this into the calculator on the way. I would type this in is 48 factorial and we wanted to stop at 36. So we just divided by 35 pictorial have everything less than 36 cancel in the denominator will have 52 factorial and then divided by 39 factorial. So you want to cancel everything? Less than 40. Okay. And then punched that into a calculator and we'll get a probability of 0.30 20.304 which is around, uh, 38.4%. Okay. Thank you.

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