SOLUTION: Hi - I need help please: Jessica has a bag containing 100 jelly beans. There are 20 red, cinnamon-flavored; 25 yellow, lemon flavored; 15 green, mint flavored; 30 purple, grape fl

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Question 638588: Hi - I need help please:
Jessica has a bag containing 100 jelly beans. There are 20 red, cinnamon-flavored; 25 yellow, lemon flavored; 15 green, mint flavored; 30 purple, grape flavored; and 10 white, pineapple flavored.
1) Calculate the theoretical probability of picking a red bean and then picking a primary colored bean
2) Calculate the theoretical probability of picking a fruit flavored or primary colored bean
3) Calculate the theoretical probability of picking a red or green or fruit flavored bean
Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
Jessica has a bag containing 100 jelly beans.
There are 20 red-cinnamon-flavored; 25 yellow-lemon flavored; 15 green-mint flavored; 30 purple-grape flavored; and 10 white-pineapple flavored.
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1) Calculate the theoretical probability of picking a red bean and then picking a primary colored bean
P(red then primary colored) = (20/100)((19+15)/99) = (1/5)(34/99) = 34/495
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2) Calculate the theoretical probability of picking a fruit flavored or primary colored bean
P(fruit or primary colored) = [(25+30+10)+(20+15)]/100 = 1
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3) Calculate the theoretical probability of picking a red or green or fruit flavored bean
= (20+15+25+30+10)/100 = 1
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Cheers,
Stan H.
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