I honestly don't know if this is right but it may make sense:
x is the event of picking up a rotten orange.
Probability that x is more than or equal to 1
= 1 - p(x=0)
so use binomialpdf on calculator
where trial is 4, p = 1/12(5/60), x = 0
1 - binoomialpdf(4, 1/12, 0)
and u get 0.294