Question #19 / 20 A peculiar die has the following properties: on any roll the p

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Question #19 / 20 A peculiar die has the following properties: on any roll the probability of rolling either a 1, a 6, or a 4 is . just as it is with an ordinary die. Moreover, the probability of rolling either a 4, a 5, or a 3 is again 2. However, the probability of rolling a 416. not as one would expect of an ordinary fair die. From what you know about this peculiar die, compute the following. a. The probability of rolling anything but a 4 b. The probability of rolling a 2 a. b. Clear Undo Help

Explanation / Answer

a) P(Rolling anything but 4) = 1 - P(Rolling 4) = 1 - 1/16 = 15/16

b) P(Rolling 2) = 1 - (P(1, 6 or 4) + P(4, 5 or 3) - P(4)) = 1 - (1/2+1/2 - 1/16) = 1/16

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