Math Problem Solver

During the festivities in his neighborhood, Miranda came across a stall offering an intriguing game. The player bets a certain amount and rolls two identical dice, one after the other. If the result of the second die is higher than that of the first, the player wins and receives double the amount bet from the stall. Analyzing this game, Miranda noticed that the faces of the dice were numbered from 1 to 6

and presented the same probabilities of occurrence. Realizing that it was a fair game, he correctly calculated the probability of winning the game and decided to participate.