In a game of Archery, each ring of the Archery target is valued. The centremost ring is worth 10 points and rest of the rings are allotted points 9 to 1 in sequential order moving outwards. Archer A is likely to earn 10 points with a probability of 0.8 and Archer B is likely the earn 10 points with a probability of 0.9. Based on the above information, answer the following questions : If both of them hit the Archery target, then find the probability that (a) exactly one of them earns 10 points. (b) both of them earn 10 points.

Year	Paper Code	Set	Position
CBSE 2022	Series 65-4	Set 1	Question 14
CBSE 2022	Series 65-4	Set 2	Question 14
CBSE 2022	Series 65-4	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)