A manufacturing process has a 70% yield (meaning that 70% of the products are acceptable and the rest are defective). If we randomly select 3 of the products, find the probability that all of them are acceptable. Assume that the selection of an acceptable/defective product is independent of any prior selections. Round your answer to 3 places after the decimal point, if necessary.
1. A manufacturing process has a 70% yield (meaning that 70% of the products are acceptable and the rest are defective). If we randomly select 3 of the products, find the probability that all of them are acceptable. Assume that the selection of an acceptable/defective product is independent of any prior selections.
Round your answer to 3 places after the decimal point, if necessary.
2.
Suppose a jar contains 6 yellow marbles and 36 green marbles. If you reach in the jar and randomly pull out 2 marbles successively (without replacement), find the probability that both are green.
Give your answer as a fraction, or round your answer to 3 places after the decimal point, if necessary.
3.
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