Now, we're dealing with combinations, and I'm going to give you that answer:
5! / (3! x 2!) = 10.
So, the probability of exactly 3 projects on schedule and 2 not on schedule is 432 / 16807 * 10 = 4320 / 16807.
Finally add up the probability of 5 projects on schedule, plus the probability of 4 on schedule, plus the probability of 3 on schedule:
243 / 16807 + 1620 / 16807 + 4320 / 16807 = 6183 / 16807
6183 / 16807 = approximately 0.368, or 36.8 percent.
I really hope I'm not doing your homework for you. You spent a lot of time asking this and studying my answer, and I spent time answering it. A better use of our time would be for you to study your textbook.