Correct Answer - Option 2 : 0.6976
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)
Calculation
No 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.