In a binomial distribution, the expected value \( E(X) \) is given by the formula:
\[ E(X) = n \cdot p \]
where \( n \) is the number of trials, and \( p \) is the probability of success.
In this case, we are given:
- The number of trials, \( n = 100 \)
- The expected value, \( E(X) = 20 \)
We can use the formula for expected value to find \( p \):
\[ 20 = 100 \cdot p \]
To isolate \( p \), we solve for \( p \):
\[ p = \frac{20}{100} = 0.2 \]
Therefore, the probability of success \( p \) is \( \boxed{0.2} \).
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