If four vertices a regular octagon are chosen at random, then the probability that the quadrilateral formed by them is a rectangle is
A
`(1)/(8)`
B
`(2)/(21)`
C
`(1)/(32)`
D
`(1)/(35)`
Text Solution
Verified by Experts
The correct Answer is:
D
`(d)` As shown in figure here, four rectangles are formed. `:.` Number of favourable cases `=4` and total number of cases `=^(8)C_(4)` `:.` Required probability `=(4)/("^(9)C_(4))=(2)/(35)`
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