Question

Determine whether these events are mutually exclusive: a. Draw a card: get a spade and get a 6 b. Roll a die: get a prime number (2,3,5) c. Roll two dice: get a sum of 7 or get a sum that is an even number d. Select a student at random in your class: get a male or get a sophomore

Name: Problem 3, Chapter 4: Elementary Statistics a Step by Step Approach
Uploaded: 2021-03-18T14:46:52-08:00
Duration: 3 min 47 s
Channel: Ahmad Reda
Description: Determine whether these events are mutually exclusive: a. Draw a card: get a spade and get a 6 b. Roll a die: get a prime number (2,3,5) c. Roll two dice: get a sum of 7 or get a sum that is an even number d. Select a student at random in your class: get a male or get a sophomore

   Determine whether these events are mutually exclusive:
a. Draw a card: get a spade and get a 6
b. Roll a die: get a prime number (2,3,5)
c. Roll two dice: get a sum of 7 or get a sum that is an even number
d. Select a student at random in your class: get a male or get a sophomore

Elementary Statistics a Step by Step Approach

Allan G. Bluman 10th Edition

Chapter 4, Problem 3

Instant Answer

Solved by Expert Ahmad Reda

03/18/2021

Step 1

Mutually exclusive events are events that cannot occur at the same time. In other words, if one event occurs, the other cannot. Show more…

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Determine whether these events are mutually exclusive: a. Draw a card: get a spade and get a 6 b. Roll a die: get a prime number (2,3,5) c. Roll two dice: get a sum of 7 or get a sum that is an even number d. Select a student at random in your class: get a male or get a sophomore

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Key Concepts

Intersection of Events

The intersection of events refers to the set of outcomes that is common to two or more events. When the intersection is non-empty, the events can occur together, meaning they are not mutually exclusive. This concept is essential to analyze whether multiple events can happen simultaneously.

Sample Space

The sample space is the set of all possible outcomes in a probability experiment. It provides the context for defining events and determining whether events have overlapping outcomes. Understanding the sample space is fundamental for assessing the relationships between events, including their mutual exclusivity.

Mutually Exclusive Events

Mutually exclusive events, also known as disjoint events, are events that cannot occur at the same time. In any probability experiment, if one event happens, the other cannot happen. This concept is key in determining whether two or more events have any outcomes in common.

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