Some of these are conditional probability problems and some of them arenít. Watch out!
You draw ONE card from a well-shuffled 52 card deck. Find the theoretical probability that the card is
1. a heart
2. a heart if you
know that it is a red card
3. a red card
4. a red card if you
know that it is a heart
5. a king
6. a king if you
know that it is a face card (king, queen or jack)
7. an ace
8. an ace if you
know that it is a heart
9. the ace of hearts
10. a heart if
you know that it is an ace
11. a spade if
you know that it is a red card
12. a heart or
a face card
13. a heart and
a face card
| Money | Allowed to be Creative | Sense of Giving to Society | Total | |
| Male | 15 | 22 | 18 | 55 |
| Female | 10 | 15 | 20 | 45 |
| Total | 25 | 37 | 38 | 100 |
If a student is to be selected at random, find the probability that the student selected will be
1. female
2. motivated primarily
by creativity
3. not motivated
primarily by money
4. male and motivated
primarily by money
5. male, given
that the primary motivation is a sense of giving to society
6. motivated primarily
by money or creativity, given that the student is a female
7. female, given
that the motivation is not money