Editorial for SAC '22 Code Challenge 3 Junior P3 - Normal Probabilities - Olympiads Online Judge

Editorial for SAC '22 Code Challenge 3 Junior P3 - Normal Probabilities

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Author: maxcruickshanks

Maintain the probability that all these events occur with a double variable denoted as $P$ ~P~ and initialized to $1.0$ ~1.0~.

For each of the following cases, multiply $P$ ~P~ by their respective probabilities:

If the probability type is A, multiply $P$ ~P~ by $1.0$ ~1.0~;

If the probability type is B, multiply $P$ ~P~ by $0.8$ ~0.8~;

If the probability type is C, multiply $P$ ~P~ by $0.6$ ~0.6~;

If the probability type is D, multiply $P$ ~P~ by $0.4$ ~0.4~;

If the probability type is E, multiply $P$ ~P~ by $0.2$ ~0.2~.

Finally, output $P$ ~P~ to $6$ ~6~ decimal places.

Time Complexity: $\mathcal{O}(N)$ ~\mathcal{O}(N)~

Bonus: Can you find the probability to multiply by without if-statements?

Hint: The probability type and the probability are sequential and decreasing.

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