Lottery

Fernando has two lottery tickets each from other lottery. In the first is 973 000 lottery tickets from them wins 687 000, the second has 1425 000 lottery tickets from them wins 1425 000 tickets. What is the probability that at least one Fernando's ticket win?

Correct result:

p =  93.3 %

Solution:

$p_1 = 687/973 = 0.7061 \ \\ p_2 = 1102/1425 = 0.7733 \ \\ \ \\ p = 100\cdot (p_1+p_2-p_1\cdot p_2) = 100\cdot (0.7061+0.7733-0.7061\cdot 0.7733) \ \\ p = 93.3 \%$

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