Math

QuestionFind the probability of selecting a person aged 18 or older from a survey where 155 out of 200 meet this criteria. Express as a fraction.

Studdy Solution

STEP 1

Assumptions1. The total number of people surveyed is200. . The number of people who are18 years old or older is155.
3. The selection of a person is random.

STEP 2

The probability of an event is calculated by dividing the number of ways the event can occur by the total number of outcomes. In this case, the event is selecting a person who is18 years old or older, and the total number of outcomes is the total number of people surveyed.
Probability=NumberofwaystheeventcanoccurTotalnumberofoutcomesProbability = \frac{Number\, of\, ways\, the\, event\, can\, occur}{Total\, number\, of\, outcomes}

STEP 3

Now, plug in the given values for the number of ways the event can occur (number of people who are18 years old or older) and the total number of outcomes (total number of people surveyed) to calculate the probability.
Probability=155200Probability = \frac{155}{200}

STEP 4

implify the fraction to get the probability.
Probability=155200=3140Probability = \frac{155}{200} = \frac{31}{40}The probability of randomly selecting a person that was18 years old or older is 3140\frac{31}{40}.

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