Lets say there is 40% chance that an event will happen. Than it is said that the probability of the event is increased by five times. I do realize that the resulting percentage is not 200% or even 100%.
I do however assume, that the result will be 1 - (1 - 40%) / 5 = 88% (instead of increasing the probability, I decrease the opposite).
Now, is that correct? If not, what formula will calculate the new chance of the event depending on the probability multiplication?
$\endgroup$ 61 Answer
$\begingroup$Using the reasoning in this answer, we get the odds to be $2/3:1$ and $5\times2/3=10/3$. The probability of an event with odds of $10/3:1$ is $10/13=76.923\%$
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