Name ________________________________ MATH 1324 Quiz 3 Show all work in the space provided. Credit will be given only for work that is clear and readable. Please staple all sheets together before turning in the quiz. 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 Fleet's odds for winning any race were 10:2. Use this information to complete the table and answer the questions Jet # 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? _____ Fleet M1324 Q3 page 2 8. Two caards are draw wn without replacement from m an ordinary deck. Find thhe probabilityy that a)) the second is a 7 given the first is alsoo a 7. _____ b)) the second is a queen given the first iss not a queenn. _____ c)) two spades are drawn. _____ _ o a diet at least occasionaally. Of this group, 4/5 drinnk diet soft drinks, 9. Two-thhirds of the poopulation are on while 1/2 of o the rest of the t populationn drink diet sooft drinks. Coomplete the treee below (labeels AND probabilities) and then answer the quuestions below w. There arre 20 blanks to fill out! Let D = thhose who diet,, then D' = ____________________________ (in words) Let S = those who drinkk diet soft drinnks, then S' = ___________________________ (in worrds) Find the probabilities p thhat a person fits f into the following categoories. a)) Drinks diet soft drinks. ______ b)) Diets, but does not drink diet soft drinkks. ____ M1324 Q3 page 3 10. Shade the Venn Diagrams below to represent the set given above the diagram. A B A B U U A A B C ( A B ) C C ( A B ) C U A B B ( A B ) C B C B C ( A B ) C U A A B C U C A B ( A B ) C U A U C ( A B ) C ( A B ) C U C ( A B ) C U A B U A B C A B C