The probability that `sin^(-1)(sinx)+cos^(-1)(cosy)` is an integer `x,y in {1,2,3,4}` is
A
`(1)/(16)`
B
`(3)/(16)`
C
`(15)/(16)`
D
`(14)/(16)`
Text Solution
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The correct Answer is:
B
`(b)` For expression `sin^(-1)(sinx)+cos^(-1)(cosy)` to be an integer, `x` should lie between `[-(pi)/(2),(pi)/(2)]` and `y` should lie between `[0,pi]` `x=1` and `y=1,2,3` `:.` Required probability `=(3)/(16)`
