Please match the following items, which are all related with rolling a die, to their definition: ...

Question:

Please match the following items, which are all related with rolling a die, to their definition:

1-Rolling a die

2-"getting a 6"

3-{1,2,3,4,5,6}

4-"Observe an even number"

The options are

A. An event

B. An outcome

C. Sample space

D. An experiment

EVENT:


The events can be categorized into three types- one is independent (one event does not get affected by the happening of another event); dependent (one event does get affected by the happening of another event); and mutually exclusive (Both the events cannot appear at the same time).

Answer and Explanation:


An experiment can be considered as the activity in which the outcomes related to an event cannot be obtained surety. Therefore, rolling a die is an example of an experiment as it is not certain that what will be outcome. Hence, the item 1 matched with an option D.

Outcome can be defined as the end result of a certain experiment. So, if the single die is rolled and the result turns out to be 6, then getting a 6 considered as an outcome. Hence, the item 2 matched with an option B.

Sample space can be defined as the sorted list of all the possible cases in probability experiment. If the single die is rolled, then the sample space will be {1, 2, 3, 4, 5, 6}. Hence, the item 3 matched with an option C.

An event may consist one or more than one possible cases or outcomes in an experiment. If the single die is rolled, then observing an even number like {2, 4, 6} considered as an event. Hence, the item 4 matched with an option A.


Learn more about this topic:

Loading...
Mutually Exclusive Events & Non-Mutually Exclusive Events

from 6th-8th Grade Math: Practice & Review

Chapter 48 / Lesson 5
38K

Related to this Question

Explore our homework questions and answers library