There are two boxes, one containing 19 red balls and other containing 23 green balls. you are allowed to move the balls between the boxes so that when you choose a box at random and a ball at random from the chosen box, the probabilty of getting a red ball is maximized, This maximum probability is
.45
.50
.23
.72

• 19-1=18 balls tranfered to green ball box
  green ball box has 23+18=41 balls total
  1/2*(1c1/1c1)+1/2*(18c1/41c1)=0.72
• 13 years agoHelpfull: Yes(15) No(0)
• from the 2boxes we can select 1 box in 1/2 ways.
  if we choose 1 red ball then we have 18 red balls n we can choose it in 18c1 ways from (18+23=41) 41c1 ways..so we have
  1/2+1/2(18c1/41c1)= 0.72
• 13 years agoHelpfull: Yes(5) No(0)