A cupcake stand has 40 chocolate, 30 coconut and 20 banana cupcakes. Alice chooses 20 cupcakes at random to create a box as a present for her friend.

What is the probability that she chose:

(a) Eight banana and 6 coconut cupcakes?

(b) At least 2 chocolate cupcakes?

(c) All cupcakes of the same kind?

Question

Isaiah Berger

Mathematics

6 January, 02:01

A cupcake stand has 40 chocolate, 30 coconut and 20 banana cupcakes. Alice chooses 20 cupcakes at random to create a box as a present for her friend.

What is the probability that she chose:

(a) Eight banana and 6 coconut cupcakes?

(b) At least 2 chocolate cupcakes?

(c) All cupcakes of the same kind?

+1

Answers (1)

Know the Answer?

Claudia Combs · Answer 1

a) 0.00563

b) 1

c) 0

Step-by-step explanation:

Total = 40+30+20 = 90

a) (20C8*30C6*40C6) / 90C20

= 0.00563

b) 1 - (no chocolate + 1 chocolate)

1 - [ (50C20) + (40C1*50C19) ]/90C20

1 - 0.00002478

= 0.9999752187

c) [40C20+20C20+30C20]/90C20

= 0.0000000027045

A cupcake stand has 40 chocolate, 30 coconut and 20 banana cupcakes. Alice chooses 20 cupcakes at random to create a box as a present for her friend.What is the probability that she chose:(a) Eight banana and 6 coconut cupcakes?(b) At least 2 chocolate cupcakes?(c) All cupcakes of the same kind?