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1)given that: (1+x)^n=summation nCk X^K
PROVE: SUMMATION nCk p^k q^n-k =1, where p+q=1
2) prove the general law of addition: P(E1 U E2 U.....U En)=sum P(Ei)-sum P(EiEj)+sum P(EiEjEk)-.....(-1)^n-1 P(E1E2....En)
PROVE: SUMMATION nCk p^k q^n-k =1, where p+q=1
2) prove the general law of addition: P(E1 U E2 U.....U En)=sum P(Ei)-sum P(EiEj)+sum P(EiEjEk)-.....(-1)^n-1 P(E1E2....En)