there are two boxes one containing 10 red balls and other containing 10 green balls.you are allowed to move the balls between the boxes so that when you choose a box at random an a ball at random from that box the probability of getting a ball is maximised.find the maximum probability.
1)14/19,
2)3/4,
3)1/2,
4)37/38

• To maximise probability, transfer all red balls except 1 from box1 to box2.So now box1 will have 1 red ball and box2 will have 19(9red + 10 green)balls. Now probability of selecting box1 from those is 1/2. Since there is 1 red ball only, prbability of selecting red ball will be 1. So for box1 total is (1/2)(1)=1/2. Similarly for box2 its (1/2)(9/19). Add both you get 14/19
• 13 years agoHelpfull: Yes(46) No(0)
• 1/2*1 + 1/2*9/19 = 14/19
• 13 years agoHelpfull: Yes(4) No(0)
• 1/2*1+9/19=37/38
• 13 years agoHelpfull: Yes(2) No(12)