Brody is registering for a physics class. The morning classes are 1st, 2nd, and 3rd periods, and the afternoon classes are 4th, 5th, and 6th periods. Below is a table of teachers and the periods they teach the math class. If Brody requests a morning class, what is the probability that he is assigned Mr. Brown for 3rd period? Williams Brown Davis Miller O 3 1st X X X 2nd X X X 3rd X X 4th X X X 5th X X X 6th X X
Brody is registering for a physics class. The morning classes are 1st, 2nd, and 3rd periods, and the afternoon classes are 4th, 5th, and 6th periods. Below is a table of teachers and the periods they teach the math class. If Brody requests a morning class, what is the probability that he is assigned Mr. Brown for 3rd period? Williams Brown Davis Miller O 3 1st X X X 2nd X X X 3rd X X 4th X X X 5th X X X 6th X X
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![**Question 1**
Brody is registering for a physics class. The morning classes are 1st, 2nd, and 3rd periods, and the afternoon classes are 4th, 5th, and 6th periods. Below is a table of teachers and the periods they teach the math class. If Brody requests a morning class, what is the probability that he is assigned Mr. Brown for 3rd period?
| | 1st | 2nd | 3rd | 4th | 5th | 6th |
|---------|------|------|------|------|------|------|
| Williams| X | | | X | | |
| Brown | | X | X | | | X |
| Davis | X | X | | | | X |
| Miller | X | X | | | X | |
**Choices:**
- ⭕ \[\frac{3}{8}\]
- ⭕ \[\frac{1}{8}\]
- ⭕ \[\frac{3}{16}\]
- ⭕ \[\frac{1}{16}\]
**Explanation of Table**
The table lists four teachers, Williams, Brown, Davis, and Miller, and the periods during which they teach a math class. An "X" marks the periods when each teacher is assigned to teach.
To solve the problem, note the following:
- There are 3 morning periods (1st, 2nd, and 3rd periods).
- The number of teachers available for these periods is 4.
- The total number of teaching slots in the morning is 3 periods * 4 teachers = 12 slots.
- Mr. Brown teaches during 2nd and 3rd periods in the morning. This gives him 2 slots out of the 12 available slots in the morning.
- Therefore, given Brody's request for a morning class, the probability that he gets Mr. Brown for the 3rd period is the number of slots Mr. Brown is teaching in the morning divided by the total number of morning slots.
- The probability is \(\frac{1}{12}\).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F92b12023-f573-4f09-a646-482b08abbce9%2Fae7d8327-5b75-4afe-aeca-28233919826d%2F7bqg4x_processed.png&w=3840&q=75)
Transcribed Image Text:**Question 1**
Brody is registering for a physics class. The morning classes are 1st, 2nd, and 3rd periods, and the afternoon classes are 4th, 5th, and 6th periods. Below is a table of teachers and the periods they teach the math class. If Brody requests a morning class, what is the probability that he is assigned Mr. Brown for 3rd period?
| | 1st | 2nd | 3rd | 4th | 5th | 6th |
|---------|------|------|------|------|------|------|
| Williams| X | | | X | | |
| Brown | | X | X | | | X |
| Davis | X | X | | | | X |
| Miller | X | X | | | X | |
**Choices:**
- ⭕ \[\frac{3}{8}\]
- ⭕ \[\frac{1}{8}\]
- ⭕ \[\frac{3}{16}\]
- ⭕ \[\frac{1}{16}\]
**Explanation of Table**
The table lists four teachers, Williams, Brown, Davis, and Miller, and the periods during which they teach a math class. An "X" marks the periods when each teacher is assigned to teach.
To solve the problem, note the following:
- There are 3 morning periods (1st, 2nd, and 3rd periods).
- The number of teachers available for these periods is 4.
- The total number of teaching slots in the morning is 3 periods * 4 teachers = 12 slots.
- Mr. Brown teaches during 2nd and 3rd periods in the morning. This gives him 2 slots out of the 12 available slots in the morning.
- Therefore, given Brody's request for a morning class, the probability that he gets Mr. Brown for the 3rd period is the number of slots Mr. Brown is teaching in the morning divided by the total number of morning slots.
- The probability is \(\frac{1}{12}\).
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