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} ;$\frac { 7 } { 11 }$

Question

Quizplus · Accepted Answer

The complement of event A, denoted as $A^c$, includes all outcomes in the sample space S that are not in A. Since A={5,6,7,8,9}, $A^c$={2,3,4,10,11,12}. The probability of $A^c$, $P(A^c)$, is the number of outcomes in $A^c$ divided by the total number of outcomes in S, which is $\frac{6}{11}$.

A Probability Experiment Is Conducted in Which the Sample Space 611\frac { 6 } { 11 }116​

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