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In: Statistics and Probability

For a certain candy, 15% of the pieces are yellow, 20% are red, 20% are blue,...

For a certain candy, 15% of the pieces are yellow, 20% are red, 20% are blue, 5% are green, and the rest are brown.

a) If you pick a piece at random, what is the probability that it is​ brown? it is yellow or​ blue? it is not​ green? it is​ striped?

b) Assume you have an infinite supply of these candy pieces from which to draw. If you pick three pieces in a​ row, what is the probability that they are all​ brown? the third one is the first one that is​ red? none are​ yellow? at least one is​ green?

a) The probability that it is brown is ___. (Round to three decimal places as needed.)

The probability that it is yellow or blue is ___. (Round to three decimal places as needed.)

The probability that it it is not green is ___. (Round to three decimal places as needed.)

The probability that it is striped is ___. (Round to three decimal places as needed.)

b) The probability of picking three brown candies is __. (Round to three decimal places as needed.)

The probability of the third one being the first red one is __. (Round to three decimal places as needed.)

The probability that none are yellow is __. (Round to three decimal places as needed.)

The probability of at least one green candy is __. (Round to three decimal places as needed.)

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