# Tigers

Level pending

Jo-Ann hunts tigers. She knows that in an area lives 5 tigers. There is a 2/7 probability that she eats the tiger, there is a 3/7 probability that the tiger eats her, and there is a 2/7 probability that they eat each other. The probability that she survives all 5 tigers is a fraction $$\frac{a}{b}$$. What is the sum of the digits of $$a$$ plus the sum of digits of $$b$$?

×