2. Assuming that there are 3 possible variants during a disease epidemic related to COVID-19: A, British variant, B, South African variant, and C, American variant of COVID-19 disease.

Among them, the probability of infected patients is that the probability of the A British variant new coronary pneumonia disease is 0.6, the B South African variant new coronary pneumonia disease probability is 0.3, and the C American variant new coronary lung disease probability is 0.1.

These three types of new coronary pneumonia diseases may have fever and cough symptoms. Among them, 20% of patients with A: British variant have fever, 60% of patients with B: South African variant have fever, and 80% of patients with C: American variant have fever; And 50% of patients with variant A in the UK have cough symptoms, 35% of patients with variant B in South Africa have cough symptoms, and 25% of patients with variant C in the United States have cough symptoms.

An existing patient who is infected has fever symptoms. Please calculate the probability of this patient to have these three types of new coronary pneumonia, and determine which type of new coronary pneumonia the patient is most likely to have. (10 points)