Question

A can come neither immediately before nor immediately after B. Scribe as...

A) A and B cannot be next to each other.

B) A and B must be adjacent.

C) A must come after B.

D) A and B must be far apart.

E) A must come before B.

Answer 1

Mutually exclusive events cannot occur at the same time, and when dealing with such events in probability, the probability of both occurring together is zero.

Step-by-step explanation:

The concept being addressed here pertains to probability theory, specifically the notion of mutually exclusive events. When we study two events, A and B, being mutually exclusive, it means that they cannot occur at the same time; hence, the probability of both A and B occurring together is zero, written as P(A AND B) = 0. For instance, if A is the event 'choosing a red card' from a deck and B is the event 'choosing a club card', they are not mutually exclusive because clubs include some red cards (the diamonds and hearts). However, if event A is 'choosing a red card' and event C is 'choosing a black card', then A and C are mutually exclusive since a card cannot be both red and black.