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Question

A die is rolled, and events are defined as

A: outcome is 7

B: outcome is less than 9

Which of the following statement(s) is(are) true for above events?

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Solution

The correct option is **C** B is a certain event

When a die is rolled, all the possible outcomes ={1, 2, 3, 4, 5, 6}

As we can see, 7 does not belong the the set of the possible outcomes. So, on rolling a die 7 will never appear. Hence, A is an impossible event.

Again, we can see, all the possible outcomes is less than 9, we will always get the outome as less than 9 upon rolling a die. Hence, B is a certain event.

When a die is rolled, all the possible outcomes ={1, 2, 3, 4, 5, 6}

As we can see, 7 does not belong the the set of the possible outcomes. So, on rolling a die 7 will never appear. Hence, A is an impossible event.

Again, we can see, all the possible outcomes is less than 9, we will always get the outome as less than 9 upon rolling a die. Hence, B is a certain event.

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