The question consists of three statements numbered “I”, "II", and “III” given below it. You have to decide whether the data provided in the statements are sufficient to answer the question or not and choose the correct option accordingly.
There is x number of balls in a bag, which has four types of balls. Number of white balls in the bag is 30% of the total number of balls in the bag. When one ball is picked at random the probability of its being a red ball is twice its probability of being a white ball. There are also blue and yellow balls in the bag. If two balls are picked at random, then what is the probability of its being a blue ball?
Statement (I): There is an equal number of blue and yellow balls in the bag. When one ball is picked at random, then its probability of being a yellow ball is 1/20.
Statement (II): When one ball is picked at random, then the probability of its being a red ball is 13/20 more than its probability of being a yellow ball.
Statement (III): Total number of white balls in the bag is 6 times the number of yellow balls in the bag. The Sum of the number of white balls and the number of blue balls in the bag is 35.