(Solution) - A man wants to determine whether -(2025 Original AI-Free Solution)

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A man wants to determine whether or not to invest $1000 in a friend's speculative venture. He will do so if he thinks he can get his money back in one year. He believes the probabilities of the various outcomes at the end of one year are as follows:
Result  Probability
$2000  (double his money)   0.3
1500  0.1
1000   0.2
500   0.3
0 (lose everything)  01
What would be his expected outcome if he invests the $1000?'