A number of different types of fungi are distributed at random in a field. Eighty % of

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A number of different types of fungi are distributed at random in a field. Eighty % of these fungi are mushrooms, and the remainder are toadstools. Five % of the toadstools are poisonous. A man, who cannot distinguish between mushrooms and toadstools, wanders across the field and picks a total of 100 fungi. Determine, correct to two significant figures, using appropriate approximations, the probability that the man has picked

(a) at least 20 toadstools,

(b) exactly two poisonous toadstools. (C)

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