Suppose an economist knows the following statistics about a particular economy:
- The economy will be in a period of strong growth with probability 0.6
- The economy will be in a period of weak growth with probability 0.4
- In periods of strong growth, the probability that the economy's currency appreciates in value is 0.7
- In periods of weak growth, the probability that the economy's currency appreciates in value is 0.3
- The probability of a currency appreciation in any given period is 0.54.
What is the probability of strong growth and a currency appreciation in any given period?