Elizabeth is going to roll a fair 6sided die 600 times. Complete the following statement with the best prediction. Elizabeth will roll an even number... Choose 1 answer: (A) Exactly 100 times (B) Close to 100 times but probably not exactly 100 times (c) Exactly 300 times (D) Close to 300 times but probably not exactly 300 times

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Fair Die Probability: Since the die is fair, each of the six faces has an equal probability of 1/6 of being rolled. There are three even numbers on a die (2, 4, and 6), so the probability of rolling an even number is 3/6, which simplifies to 1/2.Calculate Expected Even Rolls: To predict how many times an even number will be rolled in 600 rolls, we multiply the total number of rolls by the probability of rolling an even number. This gives us 600 * (1/2).Calculation Result: Performing the calculation, we get 600 * (1/2) = 300. This means that, on average, Elizabeth should roll an even number 300 times out of 600 rolls.Variability in Even Rolls: However, while the expected value is 300, it is unlikely that Elizabeth will roll an even number exactly 300 times due to the variability inherent in random events. The actual number of even rolls will likely be close to 300, but not exactly 300.

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