Question

At a carnival game, you randomly throw two darts at the board and break two balloons. What is the probability that both the balloons you break are purple? There are 15 balloons total. 4 are purple.

Answer 1

4/15 of the balloons are purple. You have two darts. There are 105 combinations of hitting two balloons out of the 15. There are 6 combinations of purple balloons to be hit. This (Purple combinations over total combinations) is your probability. 6/105 simplified to 2/35 or 2:35
So your chance of picking the purple balloons, both purple, out is 2 in 35 or 2/35
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