1. A smartphone allows a maximum of three unlocking attempts through fingerprint recognition (e. g., Apple’s "touch ID") after which a pin or standard log-in is needed. Let p be the probability that the system matches your fingerprint and unlocks the phone (p depends on the quality of the fingerprint sensor). Assume that unlocking attempts are independent. To ensure user satisfaction, the phone manufacturer requires the probability that a user successfully unlocks the phone within the allowed three attempts, to be at least 0.95. What is the minimum value of p necessary to achieve this?