Suppose we roll a red die and a green die.Let R be the event that the number of spots showing on the red die is three or less,and G be the event that the number of spots showing on the green die is more than three.The events R and G are _________.
A)disjoint
B)complements
C)independent
D)reciprocals

Question

Quizplus · Accepted Answer

The events R and G are independent because the outcome of the red die has no effect on the outcome of the green die. The events are not disjoint because it is possible for both events to occur at the same time (e.g. red die shows 1 and green die shows 6). The events are also not complements because they are not opposite outcomes (e.g. R does not necessarily imply not G and vice versa). The concept of reciprocals does not apply to events.

Suppose We Roll a Red Die and a Green Die