Question

For a certain​ candy, 10​% of the pieces are​ yellow, 10​% are​ red, 15​% 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 nothing. ​(Round to three decimal places as​ needed.)

Answer 1

For a certain​ candy, 10​% of the pieces are​ yellow, 10​% are​ red, 15​% 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? - 60%

it is yellow or​ blue?15%

it is not​ green?5%

it is​ striped?0% ​

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?

60%*60%*60% = 21.6%

the third one is the first one that is​ red? - 90%*90%*10% = 8.1%

none are​ yellow? 90%*90%*90% = 72.9%

at least one is​ green? ​100% - P(none is green) = 100% - (95%*95%*95%) = 100% - 85.74% = 14.26%