1. Tossing 2 coins. Clue, there are 4 possible outcomes. Make a list to make it easy to count the favorable. 1. P(HH) = 2. P(HT) = 3. P(both coins have the same result) 4. P(coins have opposite result) = ||
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1. Tossing 2 coins. Clue, there are 4 possible outcomes. Make a list to make it easy to count the favorable. 1. P(HH) = 2. P(HT) = 3. P(both coins have the same result) 4. P(coins have opposite result) = ||
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There are (2014)=38760 many ways to get exactly 14 heads out of 20 flips, out of the 220 many equiprobable possible results when flipping a coin 20 times. Thus, the probability of exactly 14 heads is (2014)220=38760220 .
In the same way, one can calculate the probability of heads appearing exactly 15, 16, 17, 18, 19, and 20 times, and sum to find the probability that heads will appear more than 14 times. This gives an answer of 21700220 .