Two fair dice are tossed, and the following events are defined: A: {Sum of the numbers showing is odd} B: {Sum of the numbers showing is 9, 11, or 12} Are events A and B independent? Why?
Added by Brandon O.
Step 1
There are 36 possible outcomes when two dice are tossed, and 18 of them have an odd sum (1+1, 1+3, 1+5, 1+7, 1+9, 2+1, 2+3, 2+5, 2+7, 2+9, 3+1, 3+3, 3+5, 3+7, 4+1, 4+3, 4+5, 5+1). Therefore, P(A) = 18/36 = 1/2. Show more…
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