Cam is going to roll a fair 6 -sided die 2400 times. What is the best prediction for the number of times that Cam will roll the number 4 ? Choose 1 answer: (A) Exactly 400 times (B) Close to 400 times but probably not exactly 400 times (c) Exactly 600 times (D) Close to 600 times but probably not exactly 600 times

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Bytelearn · Accepted Answer

Understand the problem: Understand the problem. We need to predict how many times the number 4 will appear when a fair 6-sided die is rolled 2400 times.Calculate expected frequency: Calculate the expected frequency for the number 4. Since the die is fair, each of the six faces has an equal chance of landing face up. Therefore, the probability of rolling a 4 on any given roll is 1/6.Use probability to predict: Use the probability to predict the number of times 4 will be rolled. To find the expected number of times 4 will be rolled, multiply the total number of rolls by the probability of rolling a 4. Expected number of times rolling a 4 = Total number of rolls * Probability of rolling a 4 Expected number of times rolling a 4 = 2400 * (1/6)Perform the calculation: Perform the calculation. Expected number of times rolling a 4 = 2400 * (1/6) = 400Interpret the result: Interpret the result. The calculation shows that the expected number of times rolling a 4 is 400. However, due to the nature of probability and randomness, it is unlikely to be exactly 400. It will be close to 400, but the actual number will probably vary due to chance.

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