Six green balls and four red balls are in a bag. A ball is taken from the bag, its color recorded, then placed back in the bag. A second ball is taken and its color recorded. What is the probability the two balls are the same color?
There are 6 green balls and 4 red balls, making 10 total balls. The probability of picking a green ball first is 610 .
Since there are replacements, there will be still 10 balls in the bag. Now, for the second draw, you pick green again; making the probability, 510 . So, the probability of picking a green ball both times is 610∗510=30100=310 .
Next, the probability of picking a red ball is 410 . Doing the same as before, we get: 410∗310=325 .
I'm leaving the next step up to you, to solve... What can we do after this?