Sum of the dice
A pair of fair dice is rolled. Let E denote the event that the sum of the dice is equal to 7.
(a) Show that E is independent of the event that the first die lands on 4.
(b) Show that E is independent of the event that the second die lands on 3.
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Sara and Gerry took a math exam. Sara's percentile score on the exam was 40; Gerry's percentile score on the same test was 80. We know that
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