JEE Main 2025 Mathematics question

Given three indentical bags each containing 10 balls, whose colours are as follows :

Bag I: Red 3, Blue 2, Green 5 Bag II: Red 4, Blue 3, Green 3 Bag III: Red 5, Blue 1, Green 4

A person chooses a bag at random and takes out a ball. If the ball is Red, the probability that it is from bag I is p and if the ball is Green, the probability that it is from bag III is q, then the value of is :

• (1)8
• (2)9
• (3)7Correct
• (4)6