Comprehension Passage

Directions: Answer the question based on the information given below:

There are three bags of three different colours (Pink, Blue and Red) such that the number of balls kept in these bags are in ratio of 2: 4 : 7 respectively. In each bag there are three types of balls (Tennis, Cricket and Golf). Ratio of number of Cricket balls in Blue coloured bag and Red coloured bag is 1: 3 respectively. Number of Golf balls in Red coloured bag is three times than the number of Golf balls in Pink coloured bag. Ratio of Cricket balls in Pink coloured bag and total number of balls in Pink coloured bag is 1: 4 respectively. Total number of balls in all three bags together is 520. Number of Golf balls in Blue coloured bag is 1/4th of the number of Tennis and Cricket balls together in Red coloured bag. Number of Tennis ball in Pink coloured bag is twice of the number of Cricket balls in the same bag. Number of Tennis balls in Blue coloured bag and number of Golf balls in Red coloured bag is same. 

If all the balls in three bags are placed in an another bag. Now one ball is picked at random from the bag, then what is the probability of the picked ball neither being a Tennis ball nor a Cricket ball?

1
27/104
2
89/104
3
87/104
4
441/520
5
None of these

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