Puzzle #62: Minor Puzzles

A couple of minor puzzles this week:

1) When playing solitaire, there is a possibility that all seven initial face-up cards will be the same colour. What is the probability of this?

2) Congratulations on organising the world’s first 10,000-player Russian Roulette tournament. 100 of the players successfully played 25 rounds. Would you follow such a person’s tips on how to play Russian Roulette? Why or why not?

Submit your answer to Gene Wirchenko <genew@telus.net>. Your answer should be in the form of a proof. That means to show how your answer must be correct. The deadline is Wednesday, August 13, 2014> at noon Pacific Time. I will post the answer shortly after.