Question Bank - General Aptitude

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There are five bags each containing identical sets of ten distinct chocolates. One chocolate is picked from each bag.The probability that at least two chocolates are identical is ______

A.
0.8125
B.
0.6976
C.
0.3024
D.
0.4235

Solution:

Data:To find the probability that no two chocolate are identical = P(k)To find the probability that at least two chocolates are identical = P(x):Formula:P(x) = 1 - P(k)CalculationNo two cholocate identical:From 1st bag = Probability = \(\frac{10}{10}\)From 2nd bag = Probability = \(\frac{9}{10}\)From 3rd bag = Probability = \(\frac{8}{10}\)From 4th bag = Probability = \(\frac{7}{10}\)From 5th bag = Probability = \(\frac{6}{10}\)P(k) = \(\frac{10 \times 9 \times 8 \times7\times6}{10\times 10 \times10 \times 10 \times10} = 0.3024\)P(x) = 1 - P(k) = 1 - 0.3024? The required result will be P(x) = 0.6976.

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