Conditionalish/joint probability?

Question

What is the overall probability of some event happening if it has 15% chance of happening, but can only happen if another event with 40% of happening takes place ?

Answer 1

0.40*0.15=0.06. So, for the event 2nd to occur you need the 1st to occur. So 60 percent of time neither occurs. Of the remaining 40 percent 15 percent of time the second occurs. Ie 6 percent of total

Answer 2

Let $A$ be the occurrence that an event happens, and let $B$ be the condition. Then $$P(A|B) = \frac{P( A \cap B)}{P(B)}$$

Hence: $0,15 \cdot 0,4 = 0,6$, therefore $6$%