orWatch a videoIf you flip a coin 12 times, what is the best prediction possible for the number of times it will land on tails?
Question
orWatch a videoIf you flip a coin 12 times, what is the best prediction possible for the number of times it will land on tails?
Solution
When you flip a coin, there are two possible outcomes: heads or tails. Since the coin is fair, the probability of getting either outcome is equal, 1/2.
If you flip the coin 12 times, the best prediction for the number of times it will land on tails is based on the expected value. The expected value is calculated by multiplying each outcome by its probability, and then summing these products.
In this case, the possible outcomes when flipping a coin are 1 (tails) and 0 (heads). The probability of each outcome is 1/2. So, the expected value is:
(1 * 1/2) + (0 * 1/2) = 1/2
Since you're flipping the coin 12 times, you multiply this expected value by 12:
12 * 1/2 = 6
So, the best prediction for the number of times the coin will land on tails is 6.
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