A portfolio holds shares of biotechnology companies that are categorized according to their market capitalization as either small cap, mid cap, or large cap. The portfolio consists of 15% small cap, 50% mid cap, and 35% large cap. The probability of bankruptcy in the next five years depends on the market cap of the company: the probability is 30% for small cap, 15% for mid cap, and 5% for large cap.

One of the companies represented in the portfolio is randomly selected. Determine the probability that the randomly selected company is currently classified as mid cap, given that it is assumed to stay in business for the next five years.

• 3/40
• 3/20
• 1/2
• 6/11
• 8/11