In a bag containing 3balls, a white ball was placed and then 1ball was taken out at random. What isthe probability that theextracted ball would turn on to be white, if all possible hypothesis concerning the color of the balls that initially in the bag were equally possible ?  Choose one.
A) 2/3 B) 5/8 C) 3/5 D) 4/7 E) 5/8
Since, all possible hypothesis regarding the colour of the balls are equally likely, therefore these could be 3 white balls, initially in the bag.   ∴ Required probability = 1/4 [1 + 3/4 + 1/2 + 1/4]   = 1/4 [(4 + 3 + 2 + 1)/4] = 5/8   5/8
<result>B</result>
In a bag containing 3balls, a white ball was placed and then 1ball was taken out at random. What isthe probability that theextracted ball would turn on to be white, if all possible hypothesis concerning the color of the balls that initially in the bag were equally possible ?