Question

Create a probability question, in the form "What is the probability of _____?", where A and B are non-mutually exclusive and justify why the events are non-mutually exclusive. Draw the Venn diagram and solve for the probability where A and B are non-mutually exclusive. Justify why the events are non-mutually exclusive.

Answer 1

Step-by-step explanation: Non-mutually exclusive events occur when there are multiple ways to satisfy the condition of an event. For example, rolling a die twice can result in any combination of numbers from 2 to 12. Therefore, the probability of rolling a 3 on one die and a 5 on another die is not zero, but rather 1/6 * 1/6 = 1/36. The Venn diagram for this scenario would have two circles representing the two events, with some overlap where both events could occur simultaneously.

To create a probability question using this concept, we could ask "What is the probability of getting a sum of 7 or more when rolling two dice?"

Answer 2

The probability of rolling a 3 or 2 on a single die is an example of conditional probability. This is an example of classical probability. Classical probability is based on the assumption that the outcomes of an experiment (e.g. rolling a die) are equally likely.