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Question Video: Estimating the Probability of an Event Mathematics

A store receives a box of apples from an orchard. A worker inspects a sample of 54 apples from the box. Of these apples, 6 are spoiled. Use this data to estimate the probability that an apple received from the orchard is spoiled.

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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.

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