Final Answer:
In a board game where Justin, Cam, and Ben play with different winning probabilities, the expected outcome is b) Justin has a 50% chance, Cam has a 30% chance, Ben has a 20% chance of winning.
Step-by-step explanation:
To determine the expected winning probabilities, we must ensure that the sum of the individual probabilities equals 100%. In option b), the distribution aligns with this requirement: Justin (50%) + Cam (30%) + Ben (20%) = 100%.
This composition of winning probabilities suggests a scenario where Justin has the highest chance of winning, followed by Cam and then Ben. Such distributions are common in board games to maintain a balance and offer varied challenges. The percentages reflect the likelihood of each player's success, providing an equal and comprehensive representation.
Considering the alternatives, option b) is the most reasonable and expected outcome. The mathematical calculation is straightforward as it satisfies the fundamental principle of probability—namely, that the total probability of all possible outcomes should sum to 100%. Therefore, in this board game, the anticipated winning probabilities are Justin (50%), Cam (30%), and Ben (20%), making option b) the correct and logical answer.