Answer:
a) Probability that 11 are yellow = 44/270= 0.163
b) Probability that 11 are yellow and 3 are green = 319/1350= 0.2363
c) Probability that At least one is yellow= 370/1350 = 0.2741
Step-by-step explanation:
Probability of yellow jelly beans = 20/90
Probability of green jelly beans= 33/90
Probability of red jelly beans =37/90
a) Probability that 11 are yellow= (11/15)(20/90)= (11/3)(4/90)=44/270 =0.163
b) Probability that 11 are yellow and 3 are green= 44/270 + (33/90)(3/15)
= 44/270 +11/150= 44(5) + 11(9)/1350= 220+99/1350= 319/1350 =0.2363
C) Probability that at 1 is yellow= 1 - P(red and green)
= 1- ( 33/90)(14/15) + (37/90) (14/15)
= 1- (462/1350 + 518/1350)
= 1- 980/1350= 1350-980/1350= 370/1350 = = 0.2741
