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If four vertices a regular octagon are c...

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

`(2)/(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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