Comprehension Passage

Direction: Read the following information carefully and answer the questions.

The following information is about the number of balls of three different colour (red, yellow, and black) in four different boxes (B1, B2, B3 and B4). The total number of balls in all four boxes is 197. The total number of balls in box B1 is equal to the average number of balls in boxes B1, B2, and B3. The probability of selecting a black ball from box B4  and box B1 is (2/5) and  (1/3) respectively. The total number of balls in box B3 is 25% more than that in box B2. The sum of number of red and yellow balls from box B4 is 21, and the number of black balls from box B4 is 70% of the number of yellow balls from box B1. The average number of red balls from box B1 and the number of yellow balls from box B4 is 12.

Out of the total number of balls in bag B3, 45% of the balls are red, and the number of yellow balls in box B3 is 44.44% of the number of red balls in the box. If 4 balls are drawn one by one with replacement from box B3, then find the probability that all the balls drawn are black.

1
(2403/160000)
2
(2201/160000)
3
(2501/160000)
4
(2601/160000)
5
(2401/160000)

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