What is the probability of drawing two blue balls from the bag?

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Multiple Choice

What is the probability of drawing two blue balls from the bag?

Explanation:
The main idea is calculating the chance of two successful outcomes in two draws without replacement. If there are 2 blue balls out of 7 total, the first draw being blue has probability 2/7. After removing one blue, there is 1 blue left out of 6 balls, so the second draw being blue has probability 1/6. Multiply: (2/7) × (1/6) = 2/42 = 1/21. Another way to see it: there is exactly one way to choose both blues from the bag, out of C(7,2) = 21 possible pairs, giving 1/21.

The main idea is calculating the chance of two successful outcomes in two draws without replacement. If there are 2 blue balls out of 7 total, the first draw being blue has probability 2/7. After removing one blue, there is 1 blue left out of 6 balls, so the second draw being blue has probability 1/6. Multiply: (2/7) × (1/6) = 2/42 = 1/21.

Another way to see it: there is exactly one way to choose both blues from the bag, out of C(7,2) = 21 possible pairs, giving 1/21.

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