Math Problem Statement

Give five possible outcomes for this chance experiment.

{D, DN, DND, DNDN, DNDND}{D, DN, DNN, DNNN, DNNNN}    {N, DN, DDN, DDDN, DDDDN}{N, ND, NDN, NDND, NDNDN}{N, ND, NND, NNND, NNNND}

(b)

What can be said about the number of outcomes in the sample space?

There are  ---Select--- an infinite a finite number of possible outcomes. choices in select: finite or infinite

(c)

What outcomes are in the event E, that the number of batteries examined is an even number?

E = {N, ND, NND, NNND, NNNND, …}E = {D, DN, DND, DNDN, DNDND, …}    E = {DN, DDDN, DDDDDN, …}E = {D, DD, DND, DNND, DNNND}E = {N, ND, NDN, NDND, NDNDN}

Solution

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Math Problem Analysis

Mathematical Concepts

Combinatorics
Probability

Formulas

Counting possible outcomes
Event definition in probability

Theorems

Principle of counting
Set theory in probability

Suitable Grade Level

Grades 10-12