Question

which of the following cannot defined as the probability of an event. a)sinx(0<x< pi/2), b)cos x(0<x<pi/2), c)t+1/t (t<0), d)2t/(1+t) (0<t<1), justify your answer

Answer 1

probability always lies between 0 to 1
(a)sinx 0 <x<π/2
means sinx value 0 to 1
this is possible .

(b)in the same way this is also possible.

(c) t+1/t t<0
it means t+1/t<0
but events not be negative so, this is not possible.

(d)2t/(t+1) 0<t<1
hence ,
1<(t+1)<2 (+ve)
0< 2t<2 (+ve)
so 2t/(t+1)>0
hence possible.

so, the option (c) is answer here

Answer 2

(c) part cant be defined as probability. ...
hope it helps