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16 May, 22:17

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?

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  1. 16 May, 23:57
    0
    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
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