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?

Question

Mathematics

Zara Cuevas

1 September, 11:20

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?

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Antony Peck · Answer 1

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%