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 7 . Event B: The sum is divisible by 4 . Write your answers as fractions. (a) \( P(A)= \) \( \square \) (b) \( P(B)= \) \( \square \)
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- Each die has 6 faces, so the total number of outcomes is \(6 \times 6 = 36\). Show more…
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An ordinary (fair) die is a cube with the numbers 1through 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 8 . Event B: The sum is divisible by 3 or 4 (or both). (a) P(A) = (b) P(B) =
Joseph R.
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 6. Event B: The sum is not divisible by 4. Round your answers to two decimal places. (a) P(A) (b) P(B)
Joanna Q.
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