Let U 1 and U 2 be two urns such that U 1 contains 3 white and 2 red balls, and U 2 contains only 1 white ball. A fair coin is tossed. If head appears then 1 ball is drawn at random from U 1 and put into U 2 . However, if tail appears then 2 balls are drawn at random from U 1 and put into U 2 . Now 1 ball is drawn at random from U 2 .
(i) The probability of the drawn ball from U 2 being white is
Text Solution
Verified by ExpertsCHECK THE SOLUTION.
(i)
Sol. P(white) = P (H ∩ white) + P(T ∩ white) = 
= 
= 
= 
(ii)
Sol. 
= 
= 
= 
= 
──────────────────────────────────────────────────────────────────────────────────────────
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems