The expected value of winnings is 0.
The expected value will be calculated by taking the sum of winning and loosing = E(x) = ΣxP(x), where X is the outcome and P is the probability of that outcome.
The probability of winning = X P(x)
The probability of winning = 1 × 0.5
The probability of winning = 0.5
The probability of loosing = -1 × 0.5 (-1 because it will be the loss)
The probability of loosing = -0.5
Calculating their sum = 0.5 + (-0.5)
Expected value = 0.5 - 0.5
Expected value = 0
Hence, the expected value is 0.
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