A card is drawn from an ordinary pack of 52 cards…
Contributed by StemPy LabTry it on paper first. A hint, the key idea and the worked solution are here when you need them.
A card is drawn from an ordinary pack of cards. Let be the event "the card is a heart", and let be the event "the card is a face card", which means a jack, a queen or a king. Find the number of outcomes in , in and in . Then find how many cards are in neither nor .
Need a reminder? The key ideaShow
An event is a subset of . It is simple with one outcome, compound with more. Events and are mutually exclusive when and exhaustive when .
The worked solution
Have you tried it?
Work it out on paper first. It is fine to get stuck or make a mistake: that is how we learn. When you are ready, go through the solution one step at a time, and check each step against your own.
Step 1. The overlap. The face cards that are hearts are the jack, queen and king of hearts. So .
Step 2. The union. .
Step 3. The difference. face cards that are not hearts.
Step 4. Neither. cards are in neither event.
Answer: , and outcomes, and cards in neither.
Check. The three parts (), () and () add up to .
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