Shun is going to flip a fair coin 450 times. Complete the following statement with the best prediction. The coin will land tails up... Choose 1 answer: (A) Exactly 175 times (B) Close to 175 times but probably not exactly 175 times (c) Exactly 225 times (D) Close to 225 times but probably not exactly 225 times

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Bytelearn · Accepted Answer

Understand expected outcome: The first step is to understand the expected outcome of flipping a fair coin multiple times. Since the coin is fair, the probability of landing tails up is 0.5 (or 50%) for each flip. Therefore, if Shun flips the coin 450 times, we expect half of those flips to result in tails.Calculate expected number: To calculate the expected number of tails, we multiply the total number of flips by the probability of getting tails on a single flip. Expected number of tails = Total number of flips * Probability of tails Expected number of tails = 450 * 0.5 Expected number of tails = 225Interpret the results: Now we need to interpret the results. While the expected number of tails is 225, it is highly unlikely that Shun will get exactly 225 tails due to the variability inherent in random events. The actual number of tails is likely to be close to 225, but not exactly 225.Best prediction for statement: Based on the above reasoning, the best prediction for the statement is: ＂The coin will land tails up close to 225 times but probably not exactly 225 times.＂ This corresponds to option (D).

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