You roll a pair of fair 6-sided dice. What is the probability of getting an even

Question

You roll a pair of fair 6-sided dice. What is the probability of getting an even number AND amultiple of 3 on one roll? What is the probability of getting an even number OR amultiple of 3 on one roll? Please show how you got the answer! Thanks! I will ratelifesaver to the first person! You roll a pair of fair 6-sided dice. What is the probability of getting an even number AND amultiple of 3 on one roll? What is the probability of getting an even number OR amultiple of 3 on one roll? Please show how you got the answer! Thanks! I will ratelifesaver to the first person!

Explanation / Answer

In rolling a pair of dice, there is 36 possibilities:   1       2     3      4     5      6 1     2    3     4      5     6      7 2   3     4     5      6     7      8 3    4     5     6      7      8     9 4    5     6     7      8      9     10 5   6     7     8      9      10     11 6    7     8     9       10   11     12 Multiple of 3 - 3,6,9,12 Even number - 2,4,6,8,10,12 Multiple of 3 and Even number = {6,12} - There are 6 possibilitiesaccording to the chart above So, P(Multiple of 3 and Even number in one roll) = 6/36 = 1/6 P(Multiple or 3 in one rolls) = P(Even Number) + P(3) + P(9) =18/36 + 2/36 + 4/36 = 2/3 Hope this helps!

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