Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Of the last 2020 trains to arrive at Danville Station, 1515 were on time. What is the experimental probability that the next train to arrive will be on time? Simplify your answer and write it as a fraction or whole number.\newlineP(on time)=__P(\text{on time}) = \_\_

Full solution

Q. Of the last 2020 trains to arrive at Danville Station, 1515 were on time. What is the experimental probability that the next train to arrive will be on time? Simplify your answer and write it as a fraction or whole number.\newlineP(on time)=__P(\text{on time}) = \_\_
  1. Calculate Experimental Probability: The experimental probability is calculated by dividing the number of successful outcomes by the total number of trials. In this case, the successful outcome is a train arriving on time, and the total number of trials is the number of trains observed.\newlineCalculation: P(on time)=Number of trains on timeTotal number of trains=1520P(\text{on time}) = \frac{\text{Number of trains on time}}{\text{Total number of trains}} = \frac{15}{20}
  2. Simplify Fraction: To simplify the fraction, we can divide both the numerator and the denominator by their greatest common divisor, which is 55.\newlineCalculation: Simplified P(on time)=15÷520÷5=34P(\text{on time}) = \frac{15 \div 5}{20 \div 5} = \frac{3}{4}

More problems from Experimental probability