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Question:

The probability that x1, x2, x3 are in an arithmetic progression is?

11105

7105

9105

10105

Solution:

Here 2x2 = x1 + x3 ⇒ x1 + x3 = even
Hence number of favourable ways = 2C1 × 4C2 + 1C1 × 3C1 = 11