If a and b are independent events with p(a) = 0.4 and p(b) = 0.25, then p(a ∪ b) =?

Solution:

It is given that a and b are independent events, and the probabilities of their occurrences are given as:

p(a) = 0.4 and p(b) = 0.25

We know that for independent events, the probability that both the events would occur is given by the addition rule of probability as:

p(a ∪ b) = p(a) + p(b)

Substituting the values

p(a ∪ b) = 0.4 + 0.25

p(a ∪ b) = 0.65

Therefore, p(a ∪ b) is 0.65

If a and b are independent events with p(a) = 0.4 and p(b) = 0.25, then p(a ∪ b) =?

Summary:

If a and b are independent events with p(a) = 0.4 and p(b) = 0.25, then p(a ∪ b) = 0.65