The table below shows the probabilities generated by rolling one die 50 times and recording the number rolled.Are the events A = { roll an odd number } and B = {roll a number less than or equal to two} disjoint? $$\begin{array} { | l | l | l | l | l | l | l | }
\hline \text { Roll } & 1 & 2 & 3 & 4 & 5 & 6 \
\hline \text { Probability } & 0.22 & 0.10 & 0.18 & 0.12 & 0.18 & 0.20 \
\hline
\end{array}$$
A) No
B) Yes

Question

The table below shows the probabilities generated by rolling one die 50 times and recording the number rolled.Are the events A = { roll an odd number } and B = {roll a number less than or equal to two} disjoint? $$\begin{array} { | l | l | l | l | l | l | l | } 
\hline \text { Roll } & 1 & 2 & 3 & 4 & 5 & 6 \
\hline \text { Probability } & 0.22 & 0.10 & 0.18 & 0.12 & 0.18 & 0.20 \
\hline
\end{array}$$
A) No
B) Yes

Quizplus · Accepted Answer

Events A and B are not disjoint because they share a common outcome, which is rolling a 1. Rolling a 1 is both an odd number and a number less than or equal to two.

The Table Below Shows the Probabilities Generated by Rolling One