Question

What is the complementary event for each given situation?

1) Getting any number other than 6 when rolling a die one time
2) Getting any even number when rolling a die one time
3) Getting any number other than 6 when rolling a die two times
4) Getting any number other than 6 when rolling a die five times
5) Having at least two people with the same birth date in a room of 40 people

Answer 1

To find the complementary event in different situations, we need to identify the event and determine the outcomes not included in that event.

Step-by-step explanation:

To find the complementary event for each given situation, we need to identify the event and then determine the outcomes that are not included in that event.

1) The event is getting any number other than 6 when rolling a die one time. The complementary event would be getting a 6 when rolling a die one time.

2) The event is getting any even number when rolling a die one time. The complementary event would be getting an odd number when rolling a die one time.

3) The event is getting any number other than 6 when rolling a die two times. The complementary event would be getting a 6 when rolling a die two times.

4) The event is getting any number other than 6 when rolling a die five times. The complementary event would be getting a 6 when rolling a die five times.

5) The event is having at least two people with the same birth date in a room of 40 people. The complementary event would be having all unique birth dates in a room of 40 people.

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