In triangle ABC, the angle bisector of < BAC meets line segment BC at D, such that AD = AB. Line segment AD is extended to E such that CD = CE and angles DBE = BAD. SHow that triagnle ACE is iscocles.

Abag contains 3 red marbles, 2 blue marbles, and 2 green marbles. one marble is picked, then another marble. assume that the selections are made with replacement. a) find the probability of picking two red marbles with replacement. b) find the probability of picking a red marble and a blue marble. assume the selections are made without replacement. c) find the probability of picking two red marbles without replacement. d) find the probability of picking a red marble and a blue marble without replacement.