Let there be three independent events . The probability that only occurs is , only occurs is and only occurs is . Let ‘’ denote the probability of none of the events that occur that satisfies the equations and . All the given probabilities are assumed to lie in the interval Then ,is equal to ___
Step 1: Finding the ratio
Considering
Then,
By given condition
From
So,
So,
Similarly,
So,
Also given,
Step 2: Substituting
Hence,