Video Transcript
A store receives a box of apples
from an orchard. A worker inspects a sample of 54
apples from the box. Of these apples, six are
spoiled. Use this data to estimate the
probability that an apple received from the orchard is spoiled.
In this question, we are trying to
find the experimental probability of an event. We recall that experimental
probability can be written as a fraction, where the numerator is the number of
trials in which the outcome occurs and the denominator is the total number of
trials. In this question, a worker
inspected a sample of 54 apples from a box. Therefore, the total number of
trials is 54. Six of these apples were spoiled,
which means that the number of successful outcomes, that is, the apple was spoiled,
was six.
We can therefore conclude that the
probability that an apple received from the orchard was spoiled is six out of
54. Since both the numerator and
denominator are divisible by six, then this simplifies to one-ninth.
