Suppose Nate loses 41% of all thumb wars. (a) What is the probability that Nate loses two

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Suppose Nate loses 41% of all thumb wars.

(a) What is the probability that Nate loses two thumb wars in a row?

(b) What is the probability that Nate loses six thumb wars in a row?

(c) When events are independent, their complements are independent as well. Use this result to determine the probability that Nate loses six thumb wars in a row, but does not lose seven in a row.

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