Answer:



.
Step-by-step explanation:
We use the Venn diagram to calculate the desired probabilities.
Note that there are 6 possible results in the sample space
S = {1, 2, 3, 4, 5, 6}
Then note that in the region representing the intercept of A and B there are two possible values.
So

In the region that represents event A there are 4 possible outcomes {4, 5, 1, 2}
So

In the region that represents event B there are 3 possible outcomes {1, 2, 6}
So
.
Now


1/2 + 9/20 = 19/20
1/20 + 1/10 = 3/20
1/8 + 11/16 = 13/16
2/9 + 5/9 = 7/9
3/20 + 3/4 = 18/20 = 9/10
7/17 + 1/17 = 8/17
First year 100x0.05 = 5
Second year 100x0.05 = 5
Third year 100x0.05 = 5
Total interest 15$ for three year + the original amount mean 100
Total after three year
$115
Because the interest not compounded mean : where previously accumulated interest is not added to the principal amount of the current period, so there is no compounding.
x makes a linear pair with 120 degrees, so is supplementary:
Answer: 60 degrees