The table displays the probabilities for each of the six outcomes when rolling a particular unfair die. Suppose that the die is rolled once.
$$\begin{array} { | l | c | c | c | c | c | c | }
\hline \text { Outcome } & 1 & 2 & 3 & 4 & 5 & 6 \
\hline \text { Probability } & .1 & .1 & .1 & .2 & .2 & .3 \
\hline
\end{array}$$ 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) B and D
B) A and B
C) B and C
D) A 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. 
$$\begin{array} { | l | c | c | c | c | c | c | } 
\hline \text { Outcome } & 1 & 2 & 3 & 4 & 5 & 6 \
\hline \text { Probability } & .1 & .1 & .1 & .2 & .2 & .3 \
\hline
\end{array}$$ 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) B and D
B) A and B
C) B and C
D) A and D

Quizplus · Accepted Answer

Two events are independent if the probability of their intersection is equal to the product of their probabilities. For events A and D: P(A) = 0.6, P(D) = 0.5, and P(A ∩ D) = 0.3, which equals P(A) * P(D).

The Table Displays the Probabilities for Each of the Six