Rory has entered The Irish Gunman’s Open. In The Irish Gunman’s Open, Rory will hit golf balls at targets. If he hits the target, he will advance to the next stage, and if he misses the target, Rory will exit The Open. The Open consists of $4$ possible stages.
If the best stage Rory completes is the second stage, he will win $100$ euros. If the best stage Rory completes is the third stage, Rory will win a total of $300$ euros. If he can complete all $4$ stages, he will win a total of $1000$ euros.
Because each stage gets progressively more difficult, the probability of Rory hitting the targets decreases. The probability of Rory hitting each target given that he has reached that stage is given in the data table below.
**What is the expected value of Rory's prize money from The Irish Gunman's Open?**
Round your answer to the nearest hundredth.
[[☃ input-number 1]] euros
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:- | :-: | :-: | :-: |:-: |
**Stage** | $1^\text{st}$ | $2^\text{nd}$| $3^\text{rd}$ | $4^\text{th}$
**Probability** | $60\%$ | $50\%$ | $40\%$ | $30\%$