Case Study Problem : A shopkeeper sells three types of flower seeds A1, A2, A3. They are sold in the form of a mixture, where the proportions of these seeds are $4 : 4 : 2$, respectively. The germination rates of the three types of seeds are 45%, 60% and 35% respectively. Based on the above information : (a) Calculate the probability that a randomly chosen seed will germinate; (b) Calculate the probability that the seed is of type A2, given that a randomly chosen seed germinates.

Year	Paper Code	Set	Position
CBSE 2022	Series 65-3	Set 1	Question 14
CBSE 2022	Series 65-3	Set 2	Question 14
CBSE 2022	Series 65-3	Set 3	Question 14

• Step 1: Stating the fundamental formula / law statement (+1 Mark)
• Step 2: Intermediate mathematical substitution or proof steps (+1 Mark)
• Step 3: Correct final value or conclusion with mandatory SI units (+1 Mark)