An ordinary (fair) die is a cube with the numbers 1 through 6 on the sides (represented by painted spots). Imagine that such a die is rolled twice in succession and that the face values of the two rolls are added together. This sum is recorded as the outcome of a single trial of a random experiment.Compute the probability of each of the following events.Event A: The sum is greater than 5.Event B: The sum is not divisible by 5 and not divisible by 6.Round your answers to two decimal places.(a) PA = (b) PB =
Question
An ordinary (fair) die is a cube with the numbers 1 through 6 on the sides (represented by painted spots). Imagine that such a die is rolled twice in succession and that the face values of the two rolls are added together. This sum is recorded as the outcome of a single trial of a random experiment.Compute the probability of each of the following events.Event A: The sum is greater than 5.Event B: The sum is not divisible by 5 and not divisible by 6.Round your answers to two decimal places.(a) PA = (b) PB =
Solution
To solve this problem, we first need to understand the total number of possible outcomes when rolling a die twice. Since a die has 6 faces, the total number of outcomes is 6*6 = 36.
(a) Event A: The sum is greater than 5.
The possible outcomes where the sum is greater than 5 are: (2,4), (2,5), (2,6
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