In "The Bet" by Anton P. Chekhov, the lawyer's motivation for participating in the bet is driven by his philosophical belief in the power of knowledge and his desire to prove that material possessions are less important than intellectual pursuits. The banker suggests a bet in which the lawyer will spend 15 years in solitary confinement, and if he is successful, he will win two million rubles.
The lawyer, who is young and idealistic, accepts the bet, stating that he would prefer to live in solitude with books rather than to be rich. He believes that knowledge and intellectual pursuits are more valuable than material possessions, and he is willing to sacrifice his freedom for the sake of his ideals. He spends the first few years of his confinement reading and studying, and his beliefs become even stronger as he becomes more immersed in his intellectual pursuits.
As the years pass, the lawyer's outlook on life begins to change. He becomes disillusioned with the world and starts to question the value of knowledge in the face of his own isolation. He realizes that without the freedom to share his knowledge with others, it is essentially worthless. When the 15 years are almost up, he plans to leave his cell and forfeit the bet, but he changes his mind when he overhears the banker plotting to kill him in order to avoid paying the two million rubles.
In the end, the lawyer writes a letter to the banker, renouncing his winnings and stating that he has learned that life and freedom are more valuable than any amount of money or knowledge. His motivation for participating in the bet was driven by his idealistic beliefs, but his experience in solitary confinement taught him the true value of life and freedom.