Which diagram is utilized to calculate the probabilities of combined or sequential events?

The probability tree is a powerful tool used to visualize and calculate the probabilities of combined or sequential events. This diagram effectively breaks down complex scenarios into simpler, manageable parts, allowing users to see the various potential outcomes from a series of events. By mapping out each event as branches on the tree, one can easily follow the path from one event to the next, multiplying the probabilities along the way to find the total probability of particular outcomes.

For instance, in a scenario involving multiple choices or events, a probability tree can clearly show the different pathways that lead to each possible outcome and calculate the overall probability of those outcomes occurring. This makes it especially useful in problems involving conditional probabilities and independent events.

Other options like the Venn Diagram provide insights into how different sets overlap but are not designed specifically for calculating the sequential probabilities of events. Standard deviation measures the spread of a set of values, and range describes the difference between the highest and lowest values but do not serve the purpose of calculating probabilities in a sequential context. Thus, the probability tree stands out as the most suitable diagram for the task.