Bot GPT 4-o mini To determine the probability that Charlie's spinner lands on a 6 first and then lands on an odd number, we need to analyze the spinner's outcomes.
The spinner has three sections: 7, 6, and 8.
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Finding the Probability of Landing on a 6:
- There are 3 possible outcomes on the spinner (7, 6, 8).
- The probability of landing on a 6 is: \[ P(6) = \frac{1}{3} \]
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Finding the Probability of Landing on an Odd Number:
- The odd number on the spinner is 7.
- The probability of landing on 7 (an odd number) is: \[ P(7) = \frac{1}{3} \]
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Calculating the Combined Probability:
- The two spins are independent events. Thus, we can multiply the probabilities of the two events: \[ P(6 \text{ then } 7) = P(6) \times P(7) = \frac{1}{3} \times \frac{1}{3} = \frac{1}{9} \]
Therefore, the probability that Charlie lands on a 6 and then lands on an odd number is \(\frac{1}{9}\).
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