# Probability and Odds

Probability and Odds

Focus Set 5 – Introduction to Probability and Odds

Write probabilities as fractions reduced to lowest terms or decimals rounded to 3 decimal places.

1.  If you write the numbers 0, 1, 2, 3, 4, 5, 6, 7, 8, and  9 on slips of paper and
place them in a hat, then you draw one slip of paper.
(Note: There are 10 slips of paper.)
What is the probability of dawning the following:

a)    a number greater than 7? P(x > 7)

b)     a number less greater than 4 and less than 8?  P(x>4 and x<8)

2. A single card is dealt from a standard deck of 52 cards. What is the probability that:

(a)     the card is a club?

(b)    the card is a picture card?
(Picture cards have faces.  Aces are not picture cards.)
A          B          C         D         F
Freshmen         2          5          10         6         5
Sophomores         3          6          9         2         2

3. The grade distribution for a particular finite math class (not mine) populated by freshmen and sophomores is as shown in the table.

Suppose we randomly select a student from this class.

(a) What is the probability that the student made a D?

(b) What is the probability that the student is a freshman?

Odds should be written as ratios.
Probabilities should be as fractions or decimals.
Fraction must be in lowest terms.
Decimals must be rounded to 3 decimal places.

4. A single card is selected from a standard deck of 52 cards.

a)    What are the odds in favor of selecting an ace?

b)     What are the odds against selecting a heart?

5. If the odds against Andre winning his tennis match are 4:5, then what is the probability that Andre will win his tennis match?

6. If the odds in favor of an event are 2:5, then what is the probability that the event will occur?

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