Question

In: Statistics and Probability

You roll TWO six-sided die. Find the probability of each of the following scenarios in fractions....

You roll TWO six-sided die. Find the probability of each of the following scenarios in fractions.

1. P(sum=2)

2. P(sum is less than or equal to 4)

3. P(sum=13)

4. P(product)= 20 (Product means multiply)

5. P(product less than or equal to 12)

Solutions

Expert Solution

sum of the dice list of outcomes favourable to sum number of outcomes favourable to sum
2 (1,1) 1
3 (1,2),(2,1) 2
4 (1,3),(2,2),(3,1) 3
5 (1,4)(2,3),(3,2),(4,1) 4
6 (1,5),(2,4),(3,3),(4,2),(5,1) 5
7 (1,6),(2,5),(3,4),(4,3),(5,2),(6,1) 6
8 (2,6),(3,5),(4,4),(5,3),(6,2) 5
9 (3,6),(4,5),(5,4),(6,3) 4
10 (4,6),(5,5),(6,4) 3
11 (5,6),(6,5) 2
12 (6,6) 1

orchestra answered 3 years ago
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