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Butoxors [25]
3 years ago
15

A drawer contains 4 different pairs of gloves. Suppose we choose 3 gloves randomly, what is the probability that there is no mat

ching pair?
Mathematics
1 answer:
sergey [27]3 years ago
4 0

Answer:

The probability that there is no matching pair is 4/7 = 0.5714286.

Step-by-step explanation:

For the first glove we have no restrictions. For the second glove, we have 6 gloves that works for us and 1 that doesnt work (the one that matches the first glove), hence we have 6 possibilities out of 7. Once we pick a good second glove, for the last glove, we only have 4 cases that doesnt match the other two pairs, out of 6 total. This means that the probability that there is no matching pair is 6/7*4/6 = 4/7.

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