kokopelli wrote:
Howdy Howdy Howdy
Math is fun. It is hard work, but once you understand a new concept, it is very enjoyable.
By the way, here is a probability problem.
You have two jars containing red and blue balls. The first jar contains 4 red balls and 6 blue balls. The second jar contains 16 red balls and some number of blue balls. If you draw one ball from each jar, the odds that both balls are the same color is 44%. How many blue balls are in the second jar?
That was published in the Wall Street Journal a couple of years ago. They said that it came from one of the actuarial exams that actuaries take to become a fully credited actuary.
let P1 be the first bag, and P2 be the second:
P1(red)P2(red) + P1(blue)P2(blue) = 44/100
(4/10) * (16 / (16 + n)) + (6/10) * (n / (16 + n)) = 44/100
solving for n gives 4, hence four blue balls.
thaaanks for the problem! it was fun!!
_________________
"No problem can withstand the assault of sustained thinking." -Voltaire.