Discuss the limit of ..

Let the sample space 9 = [[l, 1] and the 1;:urc-babilit3.r P on Q assigns the equal weight on the values {0, 1/ 31 2/ 3:. 1}. Dene a sequence of events A\". =[1+(_1]+ 1) 3 n n far it = 314,. . .1, and a sequence of random variables X\" = (33 HAS). Discuss the limits of An and XE