# If a and b are independent events with p(a) = 0.5 and p(b) = 0.5, then p(a ∩ b) is?

The ratio between the number of favorable outcomes to the total number of outcomes is called probability. The range of probability of an event is 0 ≤ P (E) ≤ 1.

## Answer: The probability of events a and b that occurred simultaneously is 0.25.

Let's find p(a ∩ b)

**Explanation:**

Given

Events a and b are independent events and occurred simultaneously.

p (a) = 0. 5 and p (b) = 0. 5

By using the rules of probability, we know

⇒ p (a ∩ b) = p (a) × p (b)

⇒ p (a ∩ b) = 0. 5 × 0. 5

⇒ p (a ∩ b) = 0.25