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Out of 600 bolts, 20% are oversized and 10% are undersized. The rest are acceptable. If one bolt is chosen at random, what is the probability that it is acceptable?
- 1/5
- 7/10
- 1/10
- 3/10
Correct answer: 7/10
Solution
To find the probability of selecting an acceptable bolt, first calculate the number of oversized and undersized bolts: 20% of 600 is 120 oversized, and 10% is 60 undersized, totaling 180 non-acceptable bolts. Therefore, the number of acceptable bolts is 600 - 180 = 420, leading to a probability of 420/600, which simplifies to 7/10.
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