interesting probability question

Let U1 and U2 be two urns such that U1 contains 3 white and 2 red balls, and U2 contains only 1 white ball. A fair coin is tossed. If head appears then 1 ball is drawn at random from U1 and put into U2. However, if tail appears then 2 balls are drawn at random from U1 and put into U2. now 1 ball is drawn at random from U2.

(i) The probability of the drawn ball from U2 being white is
(a) 1330 (b) 2330 (c) 1930 (d) 1130

(ii) Given that the drawn ball from U2 is white, the probability that head appeared on the coin is
(a) 1723 (b) 1123 (c) 1523 (d) 1223

1 Answers

1057
Ketan Chandak ·

  • Sourup Nag Please try to solve the answers yourself. We are here to discuss problems and not to see solutions that you copy from some goddamn institution. Please don't do this next time onwards u jerk, stupid moron
  • Ketan Chandak dude calm down.i thought you didn't knew the answer so you posted it.what difference does it make if i solve it myself or post a picture of the solution.

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