Question

decide if the events are mutually exclusive and explain your reasoning.
event a: randomly selecting a senior from tallwood high school.
event b: randomly selecting a freshman from tallwood high school.
mutually exclusive because they cant happen at the same time.
mutually exclusive because they can happen at the same time.
not mutually exclusive because they can happen at the same time.
not mutually exclusive because they cant happen at the same time.
33
multiple choice 1 point
classify the two events as independent or dependent and explain your reasoning.
selecting a king from a standard deck, not replacing it, and then selecting a queen.
independent because the probability of one event does not affect the probability of the other
independent because the probability of one event does affect the probability of the other.
dependent becausn the probability of one event does not affect the probability of the other
dependent because the probability of one event does affect the probability of the other

Explanation:

First Problem:

Mutually exclusive events are those that cannot occur simultaneously. A student cannot be both a senior and a freshman at the same time. So, if we are selecting a student from the school, event A (selecting a senior) and event B (selecting a freshman) cannot happen together.

When we select a king from a standard deck and do not replace it, the total number of cards for the second draw (drawing a queen) is reduced by one. The probability of drawing a queen is affected by the prior event of drawing a king (and not replacing it). In dependent events, the outcome of one event influences the probability of the other event.

Answer:

Mutually exclusive because they can't happen at the same time.

Second Problem: