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More precisely: The probability of finding the fourth toy in the first meal is 0%. The probability of finding the fourth toy in the second meal is 0%. The pr
by kgwgk 4y ago
More precisely:
The probability of finding the fourth toy in the first meal is 0%.
The probability of finding the fourth toy in the second meal is 0%.
The probability of finding the fourth toy in the third meal is 0%.
The probability of finding the fourth toy in the fourth meal is 3/32 = 9.4%.
The probability of finding the fourth toy in the fifth meal is 9/64 = 14.1%.
The probability of finding the fourth toy in the sixth meal is 123/512 = 24.0%.
The probability of finding the fourth toy in the seventh meal is 135/1024 = 12.0%.
The probability of finding the fourth toy in the eighth meal is 903/8192 = 11.0%.
The probability of finding the fourth toy in the ninth meal is 1449/16384 = 8.8%.
Etc.
The expected number of meals is 1 x 0% + 2 x 0% + 3 x 0% + 4 x 9.4% + 5 x 14.1% + 6 x 24.0% + 7 x 12.0% + 8 x 11.0% + 9 x 8.8% + ...