$0/1$ point

You are attempting to value a put option with an strike price of $$110$ and one year to expiration. The underlying stock price pays no dividends, its current price is $$100,$ and you believe it has a $50\%$ chance of increasing to $$130$ and a $50\%$ chance of decreasing to $$80.$ The risk$-$free rate of interest is $10\%.$ What is the value of the put option? If necessary, round your answer to the nearest cent.