Question

Box A contains only green and purple counters.

Box B contains only green, purple and orange counters.
Juan picks one counter from box A and one counter from box B.
How many possible ways are there for Juan to pick exactly one purple counter.

Answer 1

Explanation:

box A green and purple.

box B green, purple and orange.

one pick from A, one pick from B.

there are only 2 picks. both have a chance to get purple.

the possible outcomes regarding purple are

pick 1 pick 2

not purple not purple

purple not purple

not purple purple

purple purple

so, there are exactly 2 possible ways to pick exactly one purple counter :

purple not purple

not purple purple

Answer 2

4

Explanation:

If we take 4 as k then

4k = 4(4) = 16 boxes

k + 9 = 4 + 9 = 13 boxes

Hope this helps <3