QUESTION IMAGE
Question
of the trains that recently pulled into westford station, 16 were full and 4 had room for more passengers. what is the experimental probability that the next train to pull in will be full? write your answer as a fraction or whole number. p(full) =
Step1: Find total number of trains
The total number of trains is the sum of full - trains and non - full trains. So, the total number of trains $n = 16 + 4=20$.
Step2: Calculate experimental probability
The experimental probability $P$ of an event is given by the number of favorable outcomes divided by the total number of outcomes. The number of favorable outcomes (full trains) is $16$, and the total number of outcomes (total trains) is $20$. So, $P(\text{full})=\frac{16}{20}$.
Step3: Simplify the fraction
$\frac{16}{20}=\frac{4}{5}$ by dividing both the numerator and the denominator by their greatest common divisor, which is 4.
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$\frac{4}{5}$