6. Suppose that 50% of the watermelons grown on a farm are classified as large, 30% as...

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6. Suppose that 50% of the watermelons grown on a farm are classified as large, 30% as medium, and 20% as small. Joanna buys five watermelons at random from this farm.

What is the probability that

(a) at least two of them are large;

(b) two of them are large, two are medium, and one is small;

(c) exactly two of them are medium if it is given that at least two of them are large?

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