Jason tracked the days of the week for the last 50 times he was assigned homework.
The table has tally marks which represents the number of days with homework. There are 3 5-tally groups and 1 tally mark for Monday, 2 5-tally groups and 4 tally marks for Tuesday, 4 tally marks for Wednesday,2 5-tally groups for Thursday, and 1 5-tally group and 1 tally mark for Friday.
According to the results, what is the probability of his next homework assignment being assigned on a Monday?
A.
0.20
B.
0.28
C.
0.32
D.
0.47
A. 0.20
To find the probability of Jason's next homework assignment being assigned on a Monday, we need to determine the ratio of the number of times homework was assigned on Monday to the total number of times homework was assigned.
First, we need to calculate the total number of times homework was assigned. Based on the given information, we can tally up the number of days with homework as follows:
- Monday: 1 tally mark
- Tuesday: 2 5-tally groups + 4 tally marks (2 * 5 + 4 = 14 tally marks)
- Wednesday: 4 tally marks
- Thursday: 2 5-tally groups (2 * 5 = 10 tally marks)
- Friday: 1 5-tally group + 1 tally mark (5 + 1 = 6 tally marks)
Adding up these tally marks, we get a total of (1 + 14 + 4 + 10 + 6) = 35 tally marks.
Since each tally mark represents one assignment of homework, we can conclude that Jason has been assigned homework 35 times.
Next, we need to determine the number of times Jason was assigned homework on a Monday. According to the table, there is 1 tally mark for Monday.
Now, we can calculate the probability by dividing the number of times homework was assigned on a Monday by the total number of times homework was assigned:
Probability = Number of times homework was assigned on Monday / Total number of times homework was assigned
Probability = 1 / 35
In decimal form, this is approximately 0.028571.
Looking at the answer choices provided, we can see that the correct answer is not given. However, the closest option is 0.28 (which is also equivalent to 28%), so we might select that answer based on the available choices, even though it does not match the exact probability.
To find the probability of Jason's next homework assignment being assigned on a Monday, we need to consider the total number of homework assignments that have been done on Mondays compared to the total number of homework assignments in general.
From the information given, there is a total of 3 5-tally groups and 1 tally mark for Monday. The total number of assignments can be found by multiplying the number of groups by 5 (since each group represents 5 assignments) and adding the tally mark for Monday.
So, the total number of assignments is (3 * 5) + 1 = 15 + 1 = 16.
Therefore, the probability of Jason's next homework assignment being assigned on a Monday is the number of assignments on Monday divided by the total number of assignments:
Probability = (Number of assignments on Monday) / (Total number of assignments)
Probability = 1 / 16
This simplifies to 0.0625.
The closest option to this probability is 0.20 (which is 20%), so the answer is A.