When rolling two dice, create an example of two events, A and B, which are:
i) Mutually Exclusive (1 mark): My two events are:
ii) Non-Mutually Exclusive (1 mark): My two events are:
Note that part i) is a completely separate question than part ii)
i) For mutually exclusive events, we need two events that cannot occur simultaneously. In the context of rolling two dice, an example of two mutually exclusive events could be Event A: Rolling a 1 on the first die and Event B: Rolling a 3 on the second die. Since it is not possible to roll a 1 and a 3 on separate dice at the same time, these events are mutually exclusive.
To find mutually exclusive events, you need to identify two events that have no outcomes in common. In this case, by analyzing the possible outcomes, we see that Event A (rolling a 1 on the first die) and Event B (rolling a 3 on the second die) do not share any common outcomes. Therefore, they are mutually exclusive.
ii) For non-mutually exclusive events, we need two events that can occur simultaneously. In the context of rolling two dice, an example of two non-mutually exclusive events could be Event A: Rolling an even number on the first die and Event B: Rolling a number less than 4 on the second die. These events can occur at the same time because an even number, such as 2 or 4, can also be less than 4.
To find non-mutually exclusive events, you need to identify two events that have at least one outcome in common. In this case, by analyzing the possible outcomes, we see that Event A (rolling an even number on the first die) and Event B (rolling a number less than 4 on the second die) have the outcome of rolling a 2 in common. Therefore, they are non-mutually exclusive.