When two fair dice are rolled, 36 equally likely outcomes are possible as shown below. (1, 1) (1, 2) (1, 3) (1, 4) (1, 5) (1, 6) (2, 1) (2, 2) (2, 3) (2, 4) (2, 5) (2, 6) (3, 1) (3, 2) (3, 3) (3, 4) (3, 5) (3, 6) (4, 1) (4, 2) (4, 3) (4, 4) (4, 5) (4, 6) (5, 1) (5, 2) (5, 3) (5, 4) (5, 5) (5, 6) (6, 1) (6, 2) (6, 3) (6, 4) (6, 5) (6, 6) Let X = Maximum of the numbers shown on the dice. We know the mean is 4.473 and the standard deviation is 1.405. If A is an event that X is an even number, we know that P(A) is 1/2. If B is an event that X=2. We know P (B) = 1/36. a. For A and B defined in parts c and d, find P(A and B). b. For A and B defined in parts c and d find P(A or B) using the generalized addition rule
When two fair dice are rolled, 36 equally likely outcomes are possible as shown
below.
(1, 1) (1, 2) (1, 3) (1, 4) (1, 5) (1, 6) (2, 1) (2, 2) (2, 3) (2, 4) (2, 5) (2, 6)
(3, 1) (3, 2) (3, 3) (3, 4) (3, 5) (3, 6) (4, 1) (4, 2) (4, 3) (4, 4) (4, 5) (4, 6)
(5, 1) (5, 2) (5, 3) (5, 4) (5, 5) (5, 6) (6, 1) (6, 2) (6, 3) (6, 4) (6, 5) (6, 6)
Let X = Maximum of the numbers shown on the dice. We know the mean is 4.473 and the standard deviation is 1.405. If A is an
a. For A and B defined in parts c and d, find P(A and B).
b. For A and B defined in parts c and d find P(A or B) using the generalized
rule
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