Q.62 Upon arrival at a cancer treatment center, patients are categorized into one of four stages, namely: stage 1, stage 2, stage 3, and stage 4. In the past year:
i. 10% of patients arriving were in stage 1
ii. 40% of patients arriving were in stage 2
iii. 30% of patients arriving were in stage 3
iv. The rest of the patients were in stage 4

Additional Information

• 10% of stage 1 patients died
• 20% of stage 2 patients died
• 30% of stage 3 patients died
• 50% of stage 4 patients died

Given that a patient survived, what is the probability that the patient was in stage 4 upon arrival?