Consider a standard 52-card deck from which one card is randomly selected and not replaced. Then, a second card is randomly selected. Define the two events as given. Complete parts a) and b) below. A = The fist card is a spade B = The second card is a club Are these two events mutually exclusive? Why or why not?

A. The event, are mutually exclusive. The event of selecting spade as the first card can occur at the same time as selecting a club as the second card during the experiment
B. The events are not mutually exclusive. The event of selecting a spade as the first card cannot occur at the same time as selecting a club as the second card during the experiment.
C. The events are mutually exclusive. The event of selecting a spade as the first card cannot occur at the same time as selecting a club as the second card during the experiment.
D. The events are not mutually exclusive. The event of selecting a spade as the first card can occur at the same time as selecting a club as the second card during the experiment.

Two events are said to be mutually exclusive if the existence of event A and the existence of event B can NOT both occur at the same time, For example, if we throw a fair die, there's a possibility of us getting "1" in our first throw and there's also a possibility of getting "5" in our first throw. These two instances/events are mutually exclusive because they cannot both occur at the same time.

Hence, since we can have a spade as the first drawn card and it is not impossible to have a club as our second drawn card, i.e it is possible for both events to occur at the same time, then both events, A and B are NOT mutually exclusive