Software filters rely heavily on blacklists (lists of known phishing URLs) to detect fraudulent e-mails. But such filters typically catch only 17 percent of phishing URLs. Jason receives 15 phishing e-mails.

(a) What is the expected number that would be caught by such a filter? (Round your answer to 2 decimal places.)

Expected number 2.55

(b) What is the chance that such a filter would detect none of them? (Round your answer to 5 decimal places.)

Probability _____