Q12Section I (Objective (Q1–Q80))12 of 80

Probability — Bayes' theorem for two cannons

Two cannons $A_1$ and $A_2$ fire at the same target. Cannon $A_1$ fires on an average 9 projectiles in the time in which cannon $A_2$ fires 10 projectiles. But on an average 7 out of 10 projectiles from cannon $A_1$ and 6 out of 10 projectiles from cannon $A_2$ strike the target. If in the course of shooting, the target is struck by one projectile, then the probability that it was struck by a projectile from cannon $A_1$ is:

Pick an option to check your answer. In a mock test a wrong answer here costs 0.83 mark.

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