Three bags contain a number of red and white balls as follows Bag I : 3 red balls, Bag II : 2 red balls and 1 white balls and Bag III : 3 white balls. The probability that bag i will be chosen and a ball is selected from it is `i/6`, where i=1,2,3. What is the probability that
(i) a red ball will be selected? (ii) a white ball is selected?

Explanation

To solve the problem step by step, we will calculate the probabilities of selecting a red ball and a white ball from the given bags.

### Step 1: Understand the composition of the bags
- **Bag I**: 3 red balls, 0 white balls
- **Bag II**: 2 red balls, 1 white ball
- **Bag III**: 0 red balls, 3 white balls

### Step 2: Define the events
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