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Find P(HTH) = ? coin is a classic example of a Bernoulli trial. When we flip a coin, there are two possible outcomes, heads or
Find P(HTH) = ? coin is a classic example of a Bernoulli trial. When we flip a coin, there are two possible outcomes, heads or tails, and the different flips of the coin are independent. We can think of flipping tails as a "success," and if the coin is fair, the probability of success is p = 0.5 for every trial. Recall from Preview Assignment 8.B the experiment of flipping a coin 3 times and counting the number of tails obtained. We will revisit this example in the context of a binomial distribution. Flipping a coin 3 times is a binomial experiment where n = 3 and p = 0.5, and the random variable X is the number of tails in 3 coin flips. Therefore, the distribution of X can be modeled using the binomial distribution. Recall that the outcomes of the experiment are as given in the following table: Experimental Outcome X, Number of Tails in 3 Flips of a Coin HHH 0 HHT 1 HTH 1 THH 1 TTH 2 THT 2 HTT 2 TTT 3
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