NDA 2023 Mathematics question

Suppose that there is a chance for a newly constructed building to collapse, whether the design is faulty or not. The chance that the design is faulty is 10%. The chance that the building collapses is 95% if the design is faulty, otherwise it is 45%. If it is seen that the building has collapsed, then what is the probability that it is due to faulty design?

• (A)0.10
• (B)0.19Correct
• (C)0.45
• (D)0.95