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Binomial means there are only 2 possible outcomes, like heads or tails. Imagine flipping 2 coins. What are the possible outcomes?
You should have found 4 possibilities, HH, HT, TH, TT. That means there is 1 way to get two heads, 2 ways to get one heads and one tails, and 1 way to get two tails. Hmm, 1-2-1. Look familiar? Try the same problem for flipping 3 coins. What are the possible outcomes, and in how many ways can we get each result?
There is/are way(s) to get 3 “heads”.
There is/are ways(s) to get 2 “heads” and 1 “tails”.
There is/are way(s) to get 1 “heads” and 2 “tails”.
There is/are way(s) to get 3 “tails”.
Can you use Pascal’s Triangle to determine the number of possible outcomes when flipping 4 coins? How about 6 coins? Explain how you can use the numbers in Pascal’s Triangle to solve problems like these.
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