A coin is thrown onto a table over and over again. It is thrown so that the amplitude for it to land heads up and then bounce off the table is 0.5 and the amplitude for it to land tails up and then bounce off the table is -0.5. Calculate the probability P1 that it bounces off the table if there is no way to distinguish between heads and tails. Also calculate the probability P2 that it bounces off if heads and tails can be distinguished.

(A) P1 = 0.25; P2 = -0.25 --- (B) P1 = 0.50; P2 = 0.00
(C) P1 = 0.00; P2 = 0.50 ---- (D) P1 = 1.00; P2 = 0.00


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A coin is thrown onto a table over and over again. It is thrown so that the amplitude for it to land heads up and then bounce off the table is 0.5 and the amplitude for it to land tails up and then bounce off the table is -0.5. Calculate the probability P1 that it bounces off the table if there is no way to distinguish between heads and tails. Also calculate the probability P2 that it bounces off if heads and tails can be distinguished.

(A) P1 = 0.25; P2 = -0.25
No. --- Add the amplitudes or probabilities in each case.

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A coin is thrown onto a table over and over again. It is thrown so that the amplitude for it to land heads up and then bounce off the table is 0.5 and the amplitude for it to land tails up and then bounce off the table is -0.5. Calculate the probability P1 that it bounces off the table if there is no way to distinguish between heads and tails. Also calculate the probability P2 that it bounces off if heads and tails can be distinguished.

(B) P1 = 0.50; P2 = 0.00
No. --- Probabilties of distinguishable events cannot cancel.

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A coin is thrown onto a table over and over again. It is thrown so that the amplitude for it to land heads up and then bounce off the table is 0.5 and the amplitude for it to land tails up and then bounce off the table is -0.5. Calculate the probability P1 that it bounces off the table if there is no way to distinguish between heads and tails. Also calculate the probability P2 that it bounces off if heads and tails can be distinguished.
(C) P1 = 0.00; P2 = 0.50
Yes. --- Add amplitudes and then square for 1
Square amplitudes and then add for 2.

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A coin is thrown onto a table over and over again. It is thrown so that the amplitude for it to land heads up and then bounce off the table is 0.5 and the amplitude for it to land tails up and then bounce off the table is -0.5. Calculate the probability P1 that it bounces off the table if there is no way to distinguish between heads and tails. Also calculate the probability P2 that it bounces off if heads and tails can be distinguished.
(D) P1 = 1.00; P2 = 0.00
No.
Either square and then add or add and then square.

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