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A statistics class conducts a chance experiment in which they observe students who buy a snack at the school vending machines. The type of snack (liquid or solid) is noted, as well as the number of calories from fat in the snack (less than 25, 25 to 75, or more than 75). Define L to be the event the item is liquid and B the event that the item has 75 or fewer calories of fat. How many outcomes are in the union of L and B?

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Answer:

5 possible outcomes

Step-by-step explanation:

The possible outcomes of the event L,  the item is liquid, are:

L= {liquid, less than 25; liquid, 25 to 75; liquid, more than 75}

The possible outcomes of the event B, the item has 75 or fewer calories of fat, are:

B= {liquid, less than 25; liquid, 25 to 75; solid, less than 25; solid, 25 to 75}

The possible outcomes for the union of L and B (L or B) are:

L or B = {liquid, less than 25; liquid, 25 to 75; liquid, more than 75; solid, less than 25; solid, 25 to 75}

Therefore, there are 5 possible outcomes in the union of L and B.

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