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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