One box contains one red and two white balls, the other box one white and two red balls. A box is selected at random and two balls are drawn from it with replacement. Assume that the boxes are equally likely to be selected, and that the balls in a box are equally likely to be drawn. Assume that the two drawings are independent. Is the event E = “red ball is obtained on the first draw” independent of the event F = “white ball is obtained on the second draw”?
1/2*1/3*2/3 = 1/9 p(ef) 1/2*1/3 = 1/6 Box A p(e) 1/3*2/3 = 2/9 Box A p(f) 3/54 = 1/18 =/ 1/9 so they are dependent?
Any help much be much appreciated.