3.13 The integers on an unfair six-sided die appear with the following probabilities: P(one) P(two) P(three) P(four) P(five) P(six) .17 .27 .07 .24 .09 .16 a If you roll the unfair die 4 times, what...

The integers on an unfair six-sided die appear with the following probabilities:

Extracted text: 3.13 The integers on an unfair six-sided die appear with the following probabilities: P(one) P(two) P(three) P(four) P(five) P(six) .17 .27 .07 .24 .09 .16 a If you roll the unfair die 4 times, what is the probability you will observe an even number on all 4 rolls? b If you roll the unfair die 5 times, what is the probability you will observe a five at least once? If you roll the unfair die repeatedly, what is the probability you will observe a six for the first time on the 5th roll? d If you roll the unfair die 3 times, what is the probability you will observe a two on exactly 1 of the 3 rolls? Hint: notice this question does not require the two to appear on the first, second, or third roll.