Question

En una caja de muchos bombones hay hasta tres sabores de ellos. ¿Cuántos se deben extraer como mínimo al azar para obtener con seguridad 5 bombones de un mismo sabor?

Answer 1

At least 13 chocolates must be removed

Explanation:

If there are three flavors, the probability of drawing 1 would be: 1

1/3 = 0.333

Which means, that every 3 attempts, theoretically you should do 1 of each, but how they ask for 5 chocolates of each would be:

3 * 5 = 15

At least 15 chocolates must be extracted to theoretically guarantee 5 chocolates each, but how we are interested in knowing is that a single flavor has 5 chocolates, so we discard the last two chocolates that represent the other two flavors

Therefore, for there to be safely 5 chocolates of the same flavor, at least 13 chocolates must be removed.