Leader of the group
For all positive integers n and k with n>=k, we have following equality:
nCk+nC(k-1)=(n+1)Ck
Prove equality using words. As a hint, suppose that there are n+1 people, and one of them has already been assigned to be leader of the group.
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Let A be the event that both of your two hole cards are face cards as well as let B be the event that both your hole cards form pair. Are A and B independent?
Determine examples of variables that follow a binomial probability distribution? What are examples of variables that follow a Poisson distribution? When might you use a geometric probability?
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