Jake has 30 total contacts. 16 of these contacts are people he met at school. What is the probability of Jake calling a person he met at school? The answer should be rounded to 2 decimal places if necessary.

Probability and StatisticsProbabilityFractionsDecimalsRounding
2025/3/21

1. Problem Description

Jake has 30 total contacts. 16 of these contacts are people he met at school. What is the probability of Jake calling a person he met at school? The answer should be rounded to 2 decimal places if necessary.

2. Solution Steps

The probability of an event is calculated as:
Probability=Number of favorable outcomesTotal number of possible outcomesProbability = \frac{Number \ of \ favorable \ outcomes}{Total \ number \ of \ possible \ outcomes}
In this case:
Number of favorable outcomes = Number of people Jake met at school = 16
Total number of possible outcomes = Total number of contacts = 30
Therefore, the probability is:
P(call a person from school)=1630P(call \ a \ person \ from \ school) = \frac{16}{30}
Simplify the fraction:
P(call a person from school)=815P(call \ a \ person \ from \ school) = \frac{8}{15}
Convert the fraction to a decimal:
P(call a person from school)=0.53333...P(call \ a \ person \ from \ school) = 0.53333...
Round the decimal to 2 decimal places:
P(call a person from school)=0.53P(call \ a \ person \ from \ school) = 0.53

3. Final Answer

0.53

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