The table displays the probabilities for each of the six outcomes when rolling a particular unfair die. Suppose that the die is rolled once. $$\begin{array} { | l | l | l | l | l | l | l | }
\hline \text { Outcome } & 1 & 2 & 3 & 4 & 5 & 6 \
\hline \text { Probability } & .1 & .1 & .1 & .2 & .2 & .3 \
\hline
\end{array}$$ Events A, B, C, and D are defined as follows. A: {The number is even} B: {The number is less than 4} C: {The number is less than or equal to 5} D: {The number is greater than or equal to 5} Identify one pair of independent events.
A) A and D
B) A and B
C) B and C
D) B and D

Question

The table displays the probabilities for each of the six outcomes when rolling a particular unfair die. Suppose that the die is rolled once. $$\begin{array} { | l | l | l | l | l | l | l | } 
\hline \text { Outcome } & 1 & 2 & 3 & 4 & 5 & 6 \
\hline \text { Probability } & .1 & .1 & .1 & .2 & .2 & .3 \
\hline
\end{array}$$ Events A, B, C, and D are defined as follows. A: {The number is even} B: {The number is less than 4} C: {The number is less than or equal to 5} D: {The number is greater than or equal to 5} Identify one pair of independent events.
A) A and D
B) A and B
C) B and C
D) B and D

Quizplus · Accepted Answer

A and D are independent events because the occurrence of one event does not affect the probability of the other event occurring.

The Table Displays the Probabilities for Each of the Six