An insurance company classifies their 'low risk' car policy holders as class L and their 'high risk' car policy holders as class H. 65% of the policy holders are in class L and 35% of the policy holders are in class H. the probability that a class L policy holder and a class H policy holder is involved in an accident is 0.05 and 0.25 respectively. Out of all class L policy holders involved in an accident, 90% sustained injuries. Out of all class H policy holders involved in an accident, 60% sustained injuries.

Two policy holders are selected at random. Find the probability that both policy holders are in class L, given that exactly one of them is involved in an accident and sustained injuries.