A red die and a white die are tossed. Determine the probability of rolling a sum greater than 8, to the nearest hundredth.
my work: First, it is important to note that the results of the two dice are independent (that is, they do not affect each other). Thus, there are 6*6=36 possible outcomes.
Next, we must determine how many successes exist, because Probability=(number of successes)/(number of possibilities).
Second Die
N 1 2 3 4 5 6
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F 1 | 2 3 4 5 6 7 i D 2 | 3 4 5 6 7 8 r i 3 | 4 5 6 7 8 9 s e 4 | 5 6 7 8 9 10 t 5 | 6 7 8 9 10 11 6 | 7 8 9 10 11 12
P(sum>8) = 10 successes out of 36 possibilities = 10/36 = 5/18 =0.28