### Brain Teasers

# Colorful Odds

Fun: (2.28)
Difficulty: (1.83)
Puzzle ID: #18301

Submitted By: wizecracker55 Corrected By: Winner4600

Submitted By: wizecracker55 Corrected By: Winner4600

Probability
Probability puzzles require you to weigh all the possibilities and pick the most likely outcome.

There are four colored balls in a hat: two red, one black and one blue. After pulling out two of them, you know that one of them is red, but you do not know which one. What is the probability that both balls are red?

### Answer

1 in 5. The only possible combinations are:[1] red1, black

[2] red1, blue

[3] red1, red2

[4] red2, black

[5] red2, blue

[6] black, blue

Since you know that one of the balls is red, that eliminates possibility [6], which has no red. Therefore, because all the remaining possibilities are equally likely, the probability is 1/5.

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