Question: 1. An archer has probability .3 of hitting a certain target. What is the probability of hitting the target exactly two times in four attempts?

1. An archer has probability .3 of hitting a certain target. What is the probability of hitting the target exactly two times in four attempts?
2. A true-false exam consists of ten 10-point questions. The instructor informs the students that six of the answers are true and four are false. An unprepared student decides to guess the answer to each question with the use of the spinner in Fig. 1, which gives true 60% of the time. Determine the student's expected score. Can you think of a better strategy?

False True Figure 1

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