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2. Abdullah have been invited to play the Wheel of Fortune game on computer. The wheel operates electronically with two buttons that produce hard (H) and soft (S) spin of the wheel. The wheel itself is divided into Black (BI) and Brown (Br) half-circle regions. The wheel is designed to stop with a probability of 0.4 in the black region and 0.6 in the brown region. The payoffs of the game are: States of nature Black (R.O.) Brown (R.O.) Alternatives Hard 500 + a 1500 + b Soft 2900 + b -1000 + a Probabilities 0.4 0.6 Draw the associated decision tree and specify the course of action, (16 marks) (Explain all the steps followed in detail while solving the question)