The probability of getting either a multiple of 3 on the first roll or a total of 7 for both rolls is 1/9.
What is probability?
Probability is the measure of the likelihood of an occurrence.
For the first roll:
Sample space = {3,6) i.e. 2
Total outcomes ={1, 2, 3, 4, 5, 6} i.e. 6
So the probability of getting a multiple of 3 the first time = 2/6 = 1/3
For the second roll:
In order to get a total of 7 one needs 4 or 1 because in the first roll if we get 3 we need 4 to make 7 and if we get 6 we need 1 to make 7.
Sample space ={4,1} i.e. 2
Total outcomes ={1, 2, 3, 4, 5, 6} i.e. 6
So the probability of getting 4 or 1 = 2/6 =1/3
Total probability = 1/3 * 1/3 = 1/9
Hence, the probability of getting either a multiple of 3 on the first roll or a total of 7 for both rolls is 1/9.
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