Probability Rules Worksheet Use the appropriate addition or multiplication rules

Question

Probability Rules Worksheet Use the appropriate addition or multiplication rules. Show all work on another sheet of paper. 1. M&M; plain candies come in a variety of colors. According to the manufacturer, the color distribution is: Color Orange Green Red Yellow Brown Tan Percent 15% 10% 20% 20% 30% 5% Suppose you have a large bag of plain M&M; candies and you reach in and take one candy at random. Find: a P( dy) orange candy or tan carn b. Are these outcomes mutually exclusive? c. P(not brown candy)

Explanation / Answer

P(Orange candy)=0.15

P(Tan Candy)=0.05

No candy can be both orange and tan, so P(Orange candy and Tan candy)=0

a) P(Orange candy or Tan candy)=0.15+0.05-0=0.20.

b)  

Yes outcomes are mutually exclusive because one candy taken at random can be either of one colour.

c) P(brown candy) =0.30

P(not brown candy)=1-P(brown candy) =1-0.30=0.70.

a) Ans: 0.20

b) Yes

c) 0.70

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