Question

Suppose you have a 6-sided number cube and a coin. Event A is that you roll the number cube and land on 1, and event B is that you flip the coin and land on tails. How could you describe events A and B?

Choose all that apply.

-independent events
-dependent events
-mutually exclusive events
-not mutually exclusive events

Answer 1

they are independent events because the outcome of one does not affect the outcome of the other

Answer 2

Answer: The correct option is (A) Independent events.

Step-by-step explanation: Given that we have a 6-sided Suppose you have a 6-sided number cube and a coin.

Event A and event B are defined as follows:

Event A : the event of rolling 1 on the number cube,

Event B: the event of landing on a tail while flipping the coin.

We are to select the correct description of the events A and B from the given options.

Independent Events: Two events are said to be independent if the happening of one of them does not affect the happening of the other.

Dependent events: Two events are said to be dependent if the happening of one of them affect the happening of the other.

Mutually exclusive events: Two events are mutually exclusive or disjoint if they cannot both occur at the same time.

Not-mutually exclusive: Two events are said to be mutually non exclusive events if both the events have at least one common outcome between them.

Now, looking at the definition of events A and B, we can say that the happening of any one of them does not affect the happening of the other event.

Because, the rolling of 1 on a number cube and landing a tail on a coin are independent of each other.

So, the events A and B are INDEPENDENT events.

Option (A) is CORRECT.