Question

I got a black bag with $3$ green apples, $5$ yellow apples, $7$ green pears, and $2$ yellow pears. Filecio randomly grabs the fruits one by one.

How many fruits does Filecio have to grab to be sure that he got $1$ apple and $1$ pear with the same color?

Answer 1

Determine the minimum number of fruits Filecio has to grab to be sure that he got $1$ apple and $1$ pear with the same color:

There are $7$ green pears $5$ yellow apples are there,

The, the total number of fruits are:

$7$ green pears $+5$ yellow apples $=12$ fruits in total
So your answer would be $12$ but we have a problem because none of the pears are the same color as the apples.

We can fix this by simply adding one.
$1+12=13$

Therefore, Filecio have to grab for be sure that he got $1$ apple and $1$ pear with the same color is $13$.