There are two bags I and II. Bag I contains 3 white and 3 red balls and Bag II contains 4 white and 5 red balls. One ball is drawn at random from one of the bags and is found to be red. Find the probability that it was drawn from bag II.

Explanation

To solve the problem step by step, we will use Bayes' theorem to find the probability that the red ball was drawn from Bag II, given that a red ball was drawn.

### Step 1: Define the events
Let:
- \( A_1 \): The event that the ball is drawn from Bag I.
- \( A_2 \): The event that the ball is drawn from Bag II.
- \( B \): The event that a red ball is drawn.

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