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At a Phonesmart store, each phone sold is twice as likely to be an Apricot as a Banana. Also each phone sale is independent of any other phone sale. If you monitor the sale of two phones, what is the probability that the two phones sold are the same?

 Mar 6, 2020

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Probability(Apricot)  =  2/3                       [Because, of every three phones, 2 will be Apricots.]

Probability(Banana)  =  1/3

 

For both to be the same:  Apricot x Apricot    =  2/3 x 2/3  =  4/9

                                  or:   Banana x Banana  =  1/3 x 1/3  =  1/9

 

Probability that both are the same:  4/9 + 1/9  =  5/9

 Mar 6, 2020

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