Consider 5 independent Bernoulli.s trials each with probability of
success p. If the probability of at least one failure is greater than or
equal to `(31)/(32)`
, then p lies in the interval :
(1) `(1/2,3/4]`
(2) `(3/4,(11)/(12)]`
(3) `[0,1/2]`
(4) `((11)/(12),1]`
A. `((3)/(4),(11)/(12)]`
B. `[0,(1)/(2)]`
C. `((11)/(12),1]`
D. `((1)/(2),(3)/(4)]`