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

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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) About Me  (Show Source):
You can put this solution on YOUR website!

there are 11 total numbers between 1 and 11
there are 7 numbers greater than 4, and 6 numbers less than 7
then the probability that the first value will be more than 4 and the second will be less than 7 is:
P=+%287%2F11%29+%286%2F11%29=42%2F121=0.347107438

Answer by greenestamps(13305) About Me  (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.