Question

A container has 3 apple juice boxes, 4 grape juice boxes and 5 orange juice boxes. Alex picks one juice box, drinks it and then picks another juice box. What is the probability that Alex picks grape juice and then orange juice?

Answer 1

Hey!

Grape over total: $\frac{4}{12}$

After he drinks 1, there will be 1 less. That means it will be over 11

Orange over total: $\frac{5}{11}$

Now multiply the fractions

$\frac{4}{12} \times \frac{5}{11} = \frac{20}{132} \rightarrow \frac{10}{66} \rightarrow \frac{5}{33}$

That means the probability is: $\frac{5}{33}$

Good luck and hope this helps! :)