Question

Use the table to answer the question.

Sum of Two Rolls of a Cube
Roll 2






Roll 1

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
The table illustrates the sum of two rolls of a number cube. What is the probability that the first roll was a 4 or the sum of the two rolls was 6? Leave your answer as a reduced fraction.

(1 point)
The probability is
.

Answer 1

There are 36 equally likely outcomes. First roll 4 gives 6 outcomes; sum 6 gives 5 outcomes; overlap (first 4 and sum 6) is 1 outcome. So total = 6+5-1 = 10. Probability = 10/36 = 5/18.