Ramkin is going to flip a fair coin 1200 times.What is the best prediction for the number of times that the coin will land heads up?Choose 1 answer:(A) Exactly 50 times(B) Close to 50 times but probably not exactly 50 times(C) Exactly 600 times(D) Close to 600 times but probably not exactly 600 times
Q. Ramkin is going to flip a fair coin 1200 times.What is the best prediction for the number of times that the coin will land heads up?Choose 1 answer:(A) Exactly 50 times(B) Close to 50 times but probably not exactly 50 times(C) Exactly 600 times(D) Close to 600 times but probably not exactly 600 times
Question Prompt: The question prompt is: "What is the best prediction for the number of times that the coin will land heads up after flipping a fair coin 1200 times?"
Coin Probability: A fair coin has two sides, heads and tails, and each side has an equal probability of landing face up on any given flip. Therefore, the probability of getting heads on a single flip is 21.
Calculate Expected Value: To predict the number of times the coin will land heads up after 1200 flips, we can use the expected value. The expected value is calculated by multiplying the probability of an event by the number of trials. In this case, the event is landing heads up, and the number of trials is 1200 flips.
Expected Value Calculation: Calculate the expected value for the number of times the coin will land heads up: Expected value = Probability of heads ∗ Number of flips = (\(1/2) ∗1200 = 600\).
Best Prediction: The best prediction for the number of times the coin will land heads up is the expected value, which is 600 times. However, while 600 is the expected value, it is unlikely to be exactly 600 due to the variability inherent in random events. The actual number will probably be close to 600, but not exactly 600.
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