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Determine whether the events are mutually exclusive or inclusive. Then find the probability.A card is drawn from a standard deck of cards. What is the probability that it is a 5 or a spade?

$\frac{4}{13}$ inclusive

Intro Stats / AP Statistics

Algebra

Chapter 12

Probability and Statistics

Section 6

Statistical Measures

Sampling and Data

The Normal Distribution

Introduction to Combinatorics and Probability

Campbell University

Harvey Mudd College

University of Michigan - Ann Arbor

Lectures

01:32

In mathematics, the absolu…

01:11

02:27

A card is drawn from a sta…

04:53

A card is drawn at random …

09:55

02:08

$45-46$ A card is drawn at…

01:54

$25-26=$ A card is drawn a…

01:09

For Exercises $20-23,$ det…

01:38

04:54

03:32

A five-card poker hand is …

01:16

One card is selected at ra…

So for number 42 it's a probability review question from previous lesson, and we're talking about cars. Oh, a standard deck of cards has 52 in them. And if I'm drawing a five, there are 45 in a deck of cards of 52. And then if this is an or problem, that can happen to have some overlap, because there is such a thing as a US a spade of 55 of spades. So we're gonna have to find the probability of the five. So that's right here. And then I need to find the probability of me getting a spade. That's what's going to go here. So spades, um, there's 13 of them, so there's a 13 out of 52 chance that I can drop a spade. But then we also want to know what about, like that overlap. And so it's including that overlap. And so, with that being said, we can, we need to subtract that possible overlap. If that was the case, there's one that exists with five out of 52 so we go ahead ad four plus 13 and subtract one that's going to get us 16 out of 52 and then we divide by four to reduce. That's gonna get us for 13th. And the question the directions was asking at identify whether or not it was inclusive or exclusive, though this one is going to be mutually inclusive because of the possibility of the overlap happening.

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