Find the probability that a client remained a member for more than 6 months, given that the client joined in January. Help?

Question

Denis examined the records of the clients who had joined his gym more than six months ago, and he found these statistics:

P(joined in January)=0.12

P(member for over 6 months)=0.5

P(over 6 months and January)=0.024​

P(over 6 months ∣ January)=?

Answer 1

I can't draw a Venn diagram here, so I'll simply state that P(over 6 months|January) = P(over 6 months and January) / P(January)

So it's 0.024/0.12 = 0.2