Posted by **Ian** on Monday, April 15, 2013 at 3:33am.

A bag contains 10 red marbles, 10 green marbles, 10 yellow marbles and 10 blue marbles. You reach into the bag and grab a marble, then reach into the bag and grab a second marble. The probability that the second marble is the same color as the first marble is ab, where a and b are positive, coprime integers. What is the value of a+b?

Note: You do not place the first marble back into the bag

- Maths -
**Reiny**, Monday, April 15, 2013 at 8:13am
could be RR, GG, YY, or BB

prob RR = (10/40)(9/39) = 3/52

the others are the same calculation

so prob = 4(3/52) = 9/52

now doing the a and b stuff

a=9 , b=52

a+b = 61

- Maths -
**Sahil**, Saturday, April 20, 2013 at 10:27am
it is the wrong answer

- Maths -
**Tom**, Wednesday, October 1, 2014 at 12:55am
The first one can be any color. But after you draw it there will be only 9 of that color left.

So the odds of drawing the same color again are 9/39.

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