Given that a and b are real numbers such that -3 ≤ a ≤ 2 and -1 ≤ b ≤ 4, and values for a and b are chosen at random, what is the probability that product a*b is positive?
Nice example here https://web2.0calc.com/questions/help_20481
sincerely ▄︻デ🇮🇫1️⃣🇳1️⃣🇹¥══━一
There are 2 ways to get a positive value: (i) pos×pos or (ii) neg×neg
The probability of the second case is:
15×35=325
The probability of the second case is:
25×45=825
Thus, the probability is 825+325=1125
Thanks BuilderBoi, you are correct of course.
I just wanted to show people how to do it with a contour map.
I really like contour maps, in this case it was probably as easy either way but sometimes contour maps make probablility questions MUCH easier.
The sample space is 5*5 = 25 (area)
The desirable area is 2*4+ 1*3 = 8+3 = 11
So P(positive product) = 11/25