A Probability Experiment Is Conducted in Which the Sample Space $\frac { 6 } { 11 }$

question 37

Multiple Choice

A probability experiment is conducted in which the sample space of the experiment is
S={2,3,4,5,6,7,8,9,10,11,12} . Let event A={5,6,7,8,9} . Assume that each outcome is equally likely. List the outcomes in A^c . Find P(A^c) .

• A) {2,3,4,10,11,12} ;\(\frac { 6 } { 11 }\)
• B) {5,6,7,8,9} ; \(\frac { 5 } { 11 }\)
• C) {10,11,12} ; \(\frac { 3 } { 11 }\)
• D) {2,3,4,9,10,11,12} ;\(\frac { 7 } { 11 }\)

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Definitions:

Certainty

The state or quality of being free from doubt or reservations; a condition of being sure about something.

Objectivity

The practice of basing judgments and decisions on observable phenomena and uninfluenced by emotions or personal biases.

Risk

Risk refers to the potential for loss or harm when engaging in an activity or making a decision, often quantified in terms of probability and impact.

Land Ownership

The legal right or title to possess and use a specific parcel of land.