The probability of getting heads is three times as much as the probability of getting tails, find the probability that a person flipping a coin gets (a) the fourth head on the eighth flip; (b) the first head on the fifth flip.
The average number of field mice per acre in a 5-acre wheat field is estimated to be 10. Find the probability that fewer than 7 field mice are found (a) on a given acre; (b) on 3 of the next 2.5 acres inspected.
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