Problem Solving Using Theoretical Probabilities Quick Check

3 of 53 of 5 Items

Question
Use the table to answer the question.

Transportation to School Number of Students
Walk 23
Car 94
Bus 83
Solve for the probability of randomly choosing a student who rides the bus.

(1 point)
Responses

94200
Start Fraction 94 over 200 End Fraction

83200
Start Fraction 83 over 200 End Fraction

83117
Start Fraction 83 over 117 End Fraction

23200

1 answer

To find the probability of randomly choosing a student who rides the bus, we need to use the formula for probability, which is:

\[ P(\text{Event}) = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} \]

  1. Find the total number of students:

    • Walk: 23
    • Car: 94
    • Bus: 83

    Total number of students = 23 + 94 + 83 = 200

  2. Number of favorable outcomes (students who ride the bus): 83

  3. Calculate the probability:

\[ P(\text{Bus}) = \frac{83}{200} \]

Therefore, the answer is:

Start Fraction 83 over 200 End Fraction or \(\frac{83}{200}\).

So the correct response is:

83200.