To predict how many times the spinner will land on the number 2 when spun 100 times, we can use the concept of probability.
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Determine the probability of landing on 2: Since the spinner has 4 equal-sized sections (labeled 1, 2, 3, and 4), the probability of the spinner landing on any one section is equal. Therefore, the probability (P) of landing on section 2 is: \[ P(\text{landing on 2}) = \frac{1}{4} = 0.25 \]
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Calculate the expected number of times it will land on 2 in 100 spins: To find the expected number of times the spinner will land on 2 after 100 spins, we multiply the probability of landing on 2 by the total number of spins: \[ \text{Expected number of times landing on 2} = P(\text{landing on 2}) \times \text{Total spins} = 0.25 \times 100 = 25 \]
Conclusion: Based on the probability and total spins, we can predict that the spinner will land on the number 2 approximately 25 times when spun 100 times. This is based on the assumption that each spin is independent and the spinner is fair.