Back to 4.4 Problems on Independence of Events

4.4 Exercise 40

Avg difficulty 2.5

A player rolls a pair of dice five times. She scores a “hit” on any throw if she gets a 6 or 7. She wins iff she scores an odd number of hits in the five throws. What is the probability a player wins on any sequence of five throws? Suppose she plays the game 20 successive times. What is the probability she wins at least 10 times? What is the probability she wins more than half the time?

Pfeiffer, Applied Probability, 4.4 Problems on Independence of Events, exercise 40

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