8-11 are correlated questions Alternate Exam 13 - continued ALGEBRA I- Jessica h

Question

8-11 are correlated questions

Alternate Exam 13 - continued ALGEBRA I- Jessica has a bag containing 100 jelly beans. There are 20 red yellow, lemon-flavored beans; 15 green, mint-flavored beans, and 10 white, pineapple-flavored beans. cinnamon-flavored beans; 25 30 purple, grape-flavored beans Give the odds for each of the following events. 8. Find the odds in favor of picking a fruit-flavored bean. 9. Find the odds against picking a cinnamon or mint bean. Give the theoretical probability of each of the following events. 10. Picking a fruit-flavored bean 11. Not picking a cinnamon bean.

Explanation / Answer

8) Fruit flavoured beans are = Lemon + Pineapple + Grape;
Probability of picking a fruit flavoured bean = (25+30+10) / 100 = 65/100= 0.65
Note: Lemon is classified as a fruit here, else the probability would be 40/100 = 0.4

9) Odds against picking a cinnamon or mint bean = 1 - odds for cinnamon or mint bean
= 1 - (20/100 + 15/100) = 1 - 35/100 = 65/100 = 0.65

10) Picking a fruit flavoured bean = picking a bean than is lemon falvoured or pineapple flavoured or grape flavoured. This is 65/100 = 0.65 as caclualted in question 8

11) Not picking a cinnamon bean = probability of picking any bean other than cinnamon bean = 1- 20/100 = 80/100 = 0.8

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