SOLUTION: A student and a professor each choose a number between 1 and 6 (1 and 6 are both possible choices). What is the probability that the two choose the same number?

Question 299945: A student and a professor each choose a number between 1 and 6 (1 and 6 are both possible choices). What is the probability that the two choose the same number?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A student and a professor each choose a number between 1 and 6 (1 and 6 are both possible choices). What is the probability that the two choose the same number?
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There are 6*6 = 36 possible pairs
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There are 6 pairs that have the same number: 1/1,2/2,3/3 etc.
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P(pair of same digits) = 6/36 = 1/6
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Another way to think of the problem.
The student chooses any of the 6 digits.
Prob the professor chooses the same digit = 1/6
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Cheers,
Stan H.
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