A spinner is divided into five colored sections that are not of equal size: red, blue, green, yellow, and purple. The spinner is spun several times, and the results are recorded below:Spinner ResultsColor FrequencyRed 4Blue 3Green 2Yellow 2Purple 6Based on these results, express the probability that the next spin will land on blue as a fraction in simplest form.
Question
A spinner is divided into five colored sections that are not of equal size: red, blue, green, yellow, and purple. The spinner is spun several times, and the results are recorded below:Spinner ResultsColor FrequencyRed 4Blue 3Green 2Yellow 2Purple 6Based on these results, express the probability that the next spin will land on blue as a fraction in simplest form.
Solution
The probability of an event is calculated by dividing the number of successful outcomes by the total number of outcomes.
In this case, the successful outcome is the spinner landing on blue, which happened 3 times. The total number of outcomes is the total number of spins, which is the sum of all the frequencies: 4 (red) + 3 (blue) + 2 (green) + 2 (yellow) + 6 (purple) = 17.
So, the probability of the spinner landing on blue is 3/17.
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