The arrow of this spinner was spun 60 times. On 45 out of 60 times, the arrow landed on a section labeled with a multiple of 4. What was the experimental probability of the arrow landing on a section labeled with a multiple of 4?
Question
The arrow of this spinner was spun 60 times. On 45 out of 60 times, the arrow landed on a section labeled with a multiple of 4. What was the experimental probability of the arrow landing on a section labeled with a multiple of 4?
Solution 1
The experimental probability can be calculated using the formula:
Experimental Probability = Number of times the event occurred / Total number of trials
In this case, the event is the arrow landing on a section labeled with a multiple of 4, which occurred 45 times. The total number of trials is the number of times the spinner was spun, which is 60 times.
So, the experimental probability = 45 / 60
To simplify the fraction, both the numerator and the denominator can be divided by their greatest common divisor, which is 15.
So, the simplified experimental probability = 45/15 / 60/15 = 3 / 4
Therefore, the experimental probability of the arrow landing on a section labeled with a multiple of 4 is 3/4 or 0.75 when expressed as a decimal.
Solution 2
The experimental probability can be calculated using the formula:
Experimental Probability = Number of times the event occurred / Total number of trials
In this case, the event is the arrow landing on a section labeled with a multiple of 4. This happened 45 times. The total number of trials is the number of times the spinner was spun, which is 60 times.
So, the experimental probability = 45 / 60
To simplify this fraction, both the numerator and the denominator can be divided by their greatest common divisor, which is 15.
So, 45 ÷ 15 = 3 and 60 ÷ 15 = 4
Therefore, the experimental probability of the arrow landing on a section labeled with a multiple of 4 is 3/4 or 0.75 when expressed as a decimal.
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