Make a table showing all the possible outcomes for spinning the pointer of a spinner with four equal-sized sections labeled 1 through 4 and another spinner with four equal-sized sections labeled A through D. Use this table to determine the probability that the two pointers will land on an odd number and the letter C.
Question
Make a table showing all the possible outcomes for spinning the pointer of a spinner with four equal-sized sections labeled 1 through 4 and another spinner with four equal-sized sections labeled A through D. Use this table to determine the probability that the two pointers will land on an odd number and the letter C.
Solution
Sure, let's start by creating the table.
| Spinner 1 | Spinner 2 |
|---|---|
| 1 | A |
| 1 | B |
| 1 | C |
| 1 | D |
| 2 | A |
| 2 | B |
| 2 | C |
| 2 | D |
| 3 | A |
| 3 | B |
| 3 | C |
| 3 | D |
| 4 | A |
| 4 | B |
| 4 | C |
| 4 | D |
There are 16 possible outcomes when spinning both spinners.
Now, let's find the outcomes where the pointer lands on an odd number and the letter C.
| Spinner 1 | Spinner 2 |
|---|---|
| 1 | C |
| 3 | C |
There are 2 outcomes where the pointer lands on an odd number and the letter C.
So, the probability that the two pointers will land on an odd number and the letter C is 2 out of 16, or 1/8.
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