Question

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

Answer 1

The correct option is A

0.6976
P(atleast 2) = 1 - P(exactly 1)
P(exactly 1) = P(all different)

$=\frac{10\times 9\times 8\times 7\times 6}{{10}^5}$

$P\left(atleast2\right)=1-\frac{10\times 9\times 8\times 7\times 6}{{10}^5}$

$=1-0.3024=0.6976$