Suppose we are in an experiment where each trial has p = 1/6 chance of success, and that the trials are independent. What is the probability that the 3rd success occurs before the 12th trial? (Your...

Extracted text: Suppose we are in an experiment where each trial has p = 1/6 chance of success, and that the trials are independent. What is the probability that the 3rd success occurs before the 12th trial? (Your answer should be a decimal. Round to 4 decimal places if necessary.) Suppose we are in an experiment where each trial has p = 1/5 chance of success, and that the trials are independent. What is the probability that the 5th success occurs on the 16th trial? (Your answer should be a decimal. Round to 4 decimal places if necessary.)