Three coins are tossed. To answer following questions, create a set of all possi

Question

Three coins are tossed. To answer following questions, create a set of all possible outcomes (a sample space). Be sure you did not miss any. Use the letter H to indicate heads and T to indicate tails. For example, to indicate the outcome that the first coin is tails, the second coin is tails, and the third coin is heads, you would write TTH. We are interested in the event E, defined to be "exactly two of the coins come up tails. Find the probability of event E. Assume that heads and tails are equally likely, so that all of the outcomes in your sample space are also equally likely.

Explanation / Answer

E = {TTH, THT, HTT}

Total number of outcomes possible in the experiment = 2x2x2 = 8

Number of outcomes in the event E, n(E) = 3

Probability of E, P(E) = 3/8 = 0.375

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