Harvey's lawn mower is quite old. Any time he attempts to start the lawn mower by pulling the starter cord, the probability that it successfully starts is 0.77. Assume that the attempts to start the lawn mower are independent.

Among 8 attempts to start the lawn mower, if the lawn mower successfully started on more than 5 attempts, find the probability that the lawn mower successfully started on less than 7 attempts. The result is rounded to four decimal places