Question

simplify the following

a)2×3⁴×2⁵/3²×4²
b)(3¹⁵÷3¹⁰)/(5¹²×5²)÷5¹¹
c)(125/12)⁶÷125/72)⁴×(3/5)³​

Answer 1

P(Y−X=m|Y>X)=∑kP(Y−X=m,X=k|Y>X)=∑kP(Y−X=m|X=k,Y>X)P(X=k|Y>X)=∑kP(Y−k=m|Y>k)P(X=k|Y>X).