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Two number cubes are rolled simultaneously. What is the probability that the difference of the two numbers on the number cubes is 2?BB DD
Step 1: The numbers rolled with the difference as 2 are (1, 3), (3, 1), (2, 4), (4, 2), (3, 5), (5, 3), (4, 6) and (6, 4).
Step 2: Number of favorable outcomes = 8[Since there are 8 outcomes with the difference between the numbers rolled as 2.]
Step 3: Number of possible outcomes = 36[Since there are (6 x 6) possible outcomes when two number cubes are rolled.]
Step 4: P(numbers whose difference is 2) =
Step 5: = = [Substitute and simplify.]
Step 6: The probability that the difference of the two numbers on the two number cubes is 2 is .