A certain lot of bulbs has 10 bulbs of which 3 are

1. A certain lot of bulbs has 10 bulbs of which 3 are defective. Assume that 4 bulbs are are drawn at random, one by one, without replacement.

Calculate the following probabilities.

(a) the probability the first two draws yields defective bulbs.

(b) the probability the first two draws yields defective bulbs but not the other two draws.

(d) the probability that at least two of the draws yield defective bulbs.

(e) the probability that at most two of the draws yield defective bulbs.

2. Solve all parts of the previous problem assuming, instead, that the sampling is done with replacement.

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