SOLUTION: A bag contains 3 red balls, 2 white balls and 1 blue ball. Two balls are taken from the bag at random, without replacement. Find the probability that the two balls are of different

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Question 1025260: A bag contains 3 red balls, 2 white balls and 1 blue ball. Two balls are taken from the bag at random, without replacement. Find the probability that the two balls are of different colour.
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
The probability (without replacement) that both draws are red is %283%2F6%29%282%2F5%29+=+6%2F30+=+6%2F30.
The probability (without replacement) that both draws are white is %282%2F6%29%281%2F5%29+=+2%2F30.
The probability (without replacement) that both draws are blue is %281%2F6%29%280%29+=+0.
The event of drawing two balls that are of different color is the complement of the event of drawing two balls of the same color.
==> The probability is 1+-+6%2F30+-+2%2F30+=+22%2F30+=+11%2F15