Mathematics

Problem

If the empirical probability of an event

E

0.42

after

n

trials, the number

m

of times

E

occurred is given by a)

m = 0.58\,n

m = 0.42\,n

m = \dfrac{n}{0.42}

m = \dfrac{0.42}{n}

Intuitive explanation

The empirical probability is just the ratio of successful outcomes to total trials—so if you know the probability and the total number of trials, you can work backward to find how many times the event actually happened. Set up the equation $\frac{m}{n} = 0.42$ and solve for $m$ in terms of $n$ .

Intuitive explanation

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