<p>A card is chosen at random from a standard deck of 52 playing cards.</p>
<p>Let:</p>
<ul class="bullet-list"><li><div class="list-item-paragraph">Event \(A\): “The card is a heart”</div></li><li><div class="list-item-paragraph">Event \(B\): “The card is a king”</div></li><li><div class="list-item-paragraph">Event \(C\): “The card is black”</div></li></ul>
<ol class="abc-list"><li><div class="list-item-paragraph">State whether events \(A\) and \(B\) are mutually exclusive.</div></li><li><div class="list-item-paragraph">State whether events \(A\) and \(C\) are mutually exclusive.</div></li><li><div class="list-item-paragraph">Find \(P(A∪B)\).</div></li><li><div class="list-item-paragraph">Determine whether events \(A\) and “not \(A\)” are exhaustive. Explain your answer.</div></li><li><div class="list-item-paragraph">Are events \(B\) and \(C\) exhaustive?</div></li></ol>

A card is chosen at random from a standard deck of 52 playing cards.

State whether events \(A\) and \(B\) are mutually exclusive.

State whether events \(A\) and \(C\) are mutually exclusive.

Determine whether events \(A\) and “not \(A\)” are exhaustive. Explain your answer.

Probability of Multiple Events - Mutually Exclusive Events

Probability of Multiple Events - Mutually Exclusive Events