Math

QuestionWhich events include selecting accounting course number 3? Choose all that apply: A AND OO, F OR E, FF AND OO.

Studdy Solution

STEP 1

Assumptions1. There are5 finance courses numbered1 to5. . There are6 accounting courses numbered1 to6.
3. F represents the event of selecting a finance course.
4. A represents the event of selecting an accounting course.
5. represents the event of selecting an even numbered course.
6. O represents the event of selecting an odd numbered course.

STEP 2

We are asked to find the events that include the outcome of selecting the accounting course number.

STEP 3

Let's consider the first event A AND O. This represents the intersection of the events A and O, which means we are looking for outcomes that are both accounting courses and odd numbered.

STEP 4

Accounting course number3 falls under both the event A (since it's an accounting course) and the event O (since3 is an odd number). Therefore, selecting the accounting course number3 is an outcome in the event A AND O.

STEP 5

Now, let's consider the second event F OR. This represents the union of the events F and, which means we are looking for outcomes that are either finance courses or even numbered.

STEP 6

Accounting course number3 does not fall under the event F (since it's not a finance course) and it does not fall under the event (since3 is not an even number). Therefore, selecting the accounting course number3 is not an outcome in the event F OR.

STEP 7

Finally, let's consider the third event F AND O. This represents the intersection of the events F and O, which means we are looking for outcomes that are both finance courses and odd numbered.

STEP 8

Accounting course number3 does not fall under the event F (since it's not a finance course) but it does fall under the event O (since3 is an odd number). However, since it's not both, selecting the accounting course number3 is not an outcome in the event F AND O.
So, selecting the accounting course number3 is an outcome only in the event A AND O.

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