Abigal wrote a computer program that generates two random numbers between one and 11. When she runs it, what is the probability that the first value will be more than 4 and the second will be less than 4?



Answer :

Assuming uniform distribution and independence, then 
P(1st number less than 8 and 2nd number less than 8) = 
P(1st number less than 8)*P(2nd number less than 8) = 
(7/12)*(7/12) = about 34%

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