a coffee mug collection includes four red mugs, eight yellow mugs and two white mugs. What is the probability of selecting two white mugs one after another?

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amedlin2010 amedlin2010

10-12-2021
Mathematics

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a coffee mug collection includes four red mugs, eight yellow mugs and two white mugs. What is the probability of selecting two white mugs one after another?

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samuelonum1 samuelonum1 · Answer 1 · 2021-12-20T10:23:30+01:00

Assuming that the selection process was done without replacement, the probability of selecting two white mugs without replacement is 1/28

Given data

Sample Space

Red mugs = 4

yellow mugs = 8

white mugs = 2

Sample Size = 4+8+2 = 14

We are going to assume the selection was done with out replacement

Hence the probability of selecting the first white mug is

Pr(W1) = 2/8 = 1/4

The probability of selecting the second white mug is

Pr(W2) = 1/7

Hence the probability of selecting two white mugs one after another

= 1/4*1/7

=1/28

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