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Amy was born on a Tuesday. What is the probability that exactly two of her three best friends were also born on Tuesday? Express your answer as a common fraction.

 Apr 22, 2015

Best Answer 

 #1
avatar+23254 
+4

Call her friends B, C, and D.

The probability that one is born on a Tuesday is (1/7).

The probability that one isn't born on a Tuesday is (6/7).

If B and C are born on a Tuesday and D isn't:  (1/7)x(1/7)x(6/7)  =  

If B and D are born on a Tuesday and C isn't:  (1/7)x(6/7)x(1/7)  =

If C and D are born on a Tuesday and B isn't:  (6/7)x(1/7)x(1/7)  =

Calculate the three answers above and add them together for the total probability ...

 Apr 22, 2015
 #1
avatar+23254 
+4
Best Answer

Call her friends B, C, and D.

The probability that one is born on a Tuesday is (1/7).

The probability that one isn't born on a Tuesday is (6/7).

If B and C are born on a Tuesday and D isn't:  (1/7)x(1/7)x(6/7)  =  

If B and D are born on a Tuesday and C isn't:  (1/7)x(6/7)x(1/7)  =

If C and D are born on a Tuesday and B isn't:  (6/7)x(1/7)x(1/7)  =

Calculate the three answers above and add them together for the total probability ...

geno3141 Apr 22, 2015

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