Among 1000 patients with Covid-19, 725 have fever, 815 have a cough and 450 have a headache. There are 340 patients who have all three symptoms and 720 patients who have exactly two of these symptoms. Based on this data, what is the probability that a Covid-19 patient does not have either one of these three symptoms?

(A) 0.07 (B) 0.75 (C) 0.59 (D) 0.41 (E) 0.93

Hint: Draw the Venn diagram of 3 overlapping events A, B, C and use the fact that P(A B C) = P(A) + P(B) + P(C) P(A B) P(A C) P(B C) + P(A B C).