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counting and probability intermediate

Problem

An unfair coin lands on heads with probability and tails with probability . A heads flip gains \3\. What is the expected worth of a coin flip? Express your answer as a decimal rounded to the nearest hundredth.
Solution
By definition, we multiply the outcomes by their respective probabilities, and add them up: E = \frac34(+\3) + \frac14(-\8) = \boxed{\0.25}$.
Final answer
\$0.25