Answer:
11/18
5/9
Step-by-step explanation:
we will make punnette square
dice1
+
dice2 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
1)
The probability that the sum of the numbers rolled is either even or a multiple of 5
even number = 18
{(1,1), (1, 3), (1, 5), (2, 2), (2, 4), (2, 6), (3, 1), (3, 3), (3, 5), (4,2), (4, 4), (4, 6), (5, 1), (5, 3), (5, 5), (6, 2), (6, 4), (6, 6)},
and
multiple of 5 = 4
{(1,4), (2, 3), (3, 2), (4, 1), (4, 6), (5, 5), (6, 4)}
<em>(we will skip the repeating)</em>
<em />
18 + 4 = 22
probability = 22/36
= 11/18
2)
The probability that the sum of the numbers rolled is either a multiple of 3 or 4
multiple of 3 = 12
{(1, 2), (1, 5), (2, 1), (2, 4), (3, 3), (3, 6), (4, 2), (4, 5), (5, 1), (5, 4), (6, 3), (6, 6)}
and
multiple of 4 = 8
D = {(1, 3), (2, 2), (2, 6), (3, 1), (3, 5), (4, 4), (5, 3), (6, 2), (6, 6)}
<em>(we will skip the repeating)</em>
<em />
12 + 8 = 20
probability = 20/36
= 5/9
