
Jon S. answered 02/11/21
Patient and Knowledgeable Math and English Tutor
9a) You order sixteen burritos to go from a Mexican restaurant, six with hot peppers and ten without. However, the restaurant forgot to label them. If you pick four burritos at random, find the probability of the given event. (Round your answer to three decimal places.)
Exactly one has hot peppers
C(6,1)C(10,3) / C(16,4)
where C(x,y) is number of combinations of x items taken y at a time
(b) you order nineteen burritos to go from a Mexican restaurant, nine with hot peppers and ten without. However, the restaurant forgot to label them. If you pick three burritos at random, find the probability of the given event. (Round your answer to three decimal places.)
At least two have hot peppers.
1 - probability exactly zero or exactly 1 have hot peppers
probability exactly 0
C(9,0)C(10,3)/C(19,3)
probability exactly 1
C(9,1)C(10,2)/C(19,3)
add two probabilities together and subtract from 1
(c)You order seventeen burritos to go from a Mexican restaurant, nine with hot peppers and eight without. However, the restaurant forgot to label them. If you pick five burritos at random, find the probability of the given event. (Round your answer to three decimal places.)
All have hot peppers.
C(9,5)C(8,0)/C(17,5)