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Cam is going to roll a fair 66-sided die 24002400 times. What is the best prediction for the number of times that Cam will roll the number?

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Full solution

Q. Cam is going to roll a fair 66-sided die 24002400 times. What is the best prediction for the number of times that Cam will roll the number?
  1. Calculate Probability: Calculate the probability of rolling a 33 on a 66-sided die.\newlineSince there are 66 outcomes and only one of them is a 33, the probability P(3) P(3) is:\newlineP(3)=16 P(3) = \frac{1}{6}
  2. Predict Number of Rolls: Predict the number of times Cam will roll a 33 in 24002400 rolls.\newlineUsing the probability from the previous step, multiply it by the total number of rolls:\newlineExpected number of 3’s=16×2400=400 \text{Expected number of 3's} = \frac{1}{6} \times 2400 = 400

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