If two events are mutually exclusive, then they don't occur at same time
⇒ If two events don't occur at the same time, then they are mutually exclusive events.
If a die is rolled once, then the number of elements in the sample space is 6.
⇒ If the number of elements in a sample space is 6, then a die is rolled once.
If a coin is tossed, then a heads or a tails must occur.
⇒ If a heads or a tails occurs, then a coin is tossed.
What is mutually exclusive events?
Mutually exclusive events are those events that do not occur at the same time.
What is sample space?
A sample space is a collection or a set of possible outcomes of a random experiment.
If a die is rolled once. Then the total number of possible outcomes will be 6.
And the sample space = { 1, 2, 3, 4, 5, 6}
If a coin is tossed. Then the possible outcomes are getting head or tail.
⇒ Total number of possible outcomes = 2
And sample space = { Head, Tail}
If the two events do not occur at the same time then they are mutually exclusive events.
Therefore, the correct match of the given statements are:
If two events are mutually exclusive, then they don't occur at same time
⇒ If two events don't occur at the same time, then they are mutually exclusive events.
If a die is rolled once, then the number of elements in the sample space is 6.
⇒ If the number of elements in a sample space is 6, then a die is rolled once.
If a coin is tossed, then a heads or a tails must occur.
⇒ If a heads or a tails occurs, then a coin is tossed.
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