SOLUTION: paige wrote a computer program that generates two random numbers between 1 and 11. when she runs it, what is the probability that the first value will be more than 4 and the second

Question 1206034: paige wrote a computer program that generates two random numbers between 1 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 7? show your answer
Found 2 solutions by MathLover1, greenestamps:
Answer by MathLover1(20854) (Show Source): You can put this solution on YOUR website!

there are total numbers between and
there are numbers greater than , and numbers less than
then the probability that the first value will be more than and the second will be less than is:

Answer by greenestamps(13305) (Show Source): You can put this solution on YOUR website!

Regarding the response from the other tutor.... The program generates random numbers -- not random integers.

The random numbers are in the interval from 1 to 11, a width of 10.

The first number, being greater than 4, is in the range from 4 to 11, a width of 7. The probability of its falling in that range is 7/10.

The second number, being less than 7, is in the range from 1 to 7, a width of 6. The probability of its falling in that range is 6/10.

The probability of both events happening is the product of the two probabilities: (7/10)(6/10) = 42/100.

Simplify or convert to decimal or percent as needed.

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