A Math test comtains 3 stages.A parricipant can decide if he wishes to answer an easy question ,to answer a hard question or not to answer any question .If he answers the easy question correctly.his money is doubled , if he answers hard question,his money increases 4 time. If he is wrong in any case ,he loses all his money but will get 100 pounds as participation prize and he will be out of the game. If he decides not to answer any question , he goes on to the next stage with no profit no loss. The participant starts with 100 pounds, The probabilties of answering a question correctly is given.how can the participant maximize his expected innings at each stage .here winnings =amount of money with which the participant leaves the game Q1 Q2 Q3 Easy question 0.80 0.60 0.40 hard question 0.30 0.25 0.20
A Math test comtains 3 stages.A parricipant can decide if he wishes to answer an easy question ,to answer a hard question or not to answer any question .If he answers the easy question correctly.his money is doubled , if he answers hard question,his money increases 4 time.
If he is wrong in any case ,he loses all his money but will get 100 pounds as participation prize and he will be out of the game.
If he decides not to answer any question , he goes on to the next stage with no profit no loss.
The participant starts with 100 pounds,
The probabilties of answering a question correctly is given.how can the participant maximize his expected innings at each stage .here winnings =amount of money with which the participant leaves the game
| Q1 | Q2 | Q3 | |
| Easy question | 0.80 | 0.60 | 0.40 |
| hard question | 0.30 | 0.25 | 0.20 |
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