Question: 6. Two dice are rolled and the sum is calculated. Find: a) the probability of a sum of 5. _____ b) the odds for a

6. Two dice are rolled and the sum is calculated. Find:

a) the probability of a sum of 5. _____

b) the odds for a sum of seven. _____

c) the probability the second die is a 3 or the sum is 4. _____

d) the odds against a sum of 6. _____

7. After 12 races, the odds for the racehorse Jet winning any race were 9:3 and Fleets odds for winning any race were 10:2. Use this information to complete the table and answer the questions

JET

FLEET

#WINS

#NOT WINS

#TOTAL RACES

A. What were the odds against Jet winning a race? _____

b) What were the odds against Fleet winning a race? _____

c) What was the probability of Jet winning a race? _____

d) What was the probability of Fleet winning a race? _____

8. Two cards are drawn without replacement from an ordinary deck. Find the probability that

a) the second is a 7 given the first is also a 7. _____

b) the second is a queen given the first is not a queen. _____

c) two spades are drawn. _____

9. Two-thirds of the population are on a diet at least occasionally. Of this group, 4/5 drink diet soft drinks, while 1/2 of the rest of the population drink diet soft drinks. Complete A tree below (labels AND probabilities) and then answer the questions below.

Let D = those who diet, then D = _________________________ (in words)

Let S = those who drink diet soft drinks, then S = ________________________ (in words)

10. Draw and Shade Venn Diagrams below to represent the set given

A. AB

B. (AB)C

C. (AB)C

D. (AB)C

E. (AB)C

F. AB

G. (AB)C

H. (AB)C

I. (AB)C

J. (AB)C

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