An option to buy a stock is priced at $150. If the stock closes about 30 next Thursday, The option will be worth $1000. If it closes below 20, The option will be worth nothing, and if it closes...

An option to buy a stock is priced at $150.  If the stock closes about 30 next Thursday,  The option will be worth $1000.  If it closes below 20,  The option will be worth nothing,  and if it closes between 20 and 30,  The option will be worth $200.  A trader thinks there is a 50% chance that the stock will close in the 20-30 range, a 20%  chance that it will close above 30,  and a 30% chance that it will fall below 20.

A. Create a valid probability table

B. How much should the trader expect to gain or lose?

C. Should the trader buy the stock? Explain.