Widgets that have been assembled can be in:

State 0: Testing

State 1: Accept

State 2: Reject

Widget A is in Testing at time 0. You are given:

(i) 01 = 0.9 at all times.

(ii) 02 = 0.01 at all times.

(iii) Accepted widgets cannot be rejected.

(iv) Rejected widgets cannot be accepted.

Calculate the probability that Widget A will be accepted before time 2 .