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Types of Events Videos 2 videos
Disjoint events are events that cannot happen at the same time. If one happens, the other doesn't. Simple as that. Overlapping events, on the other...
This video covers both independent and dependent events, although we much prefer independent events. Dependent events are just so dang clingy.
Disjoint and Overlapping Events 18769 Views
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Description:
Disjoint events are events that cannot happen at the same time. If one happens, the other doesn't. Simple as that. Overlapping events, on the other hand, cannot happen without each other. Talk about separation anxiety...
Transcript
- 00:06
Disjoint and Overlapping Events, a la Shmoop It’s a little known fact that most Pirates
- 00:11
miss their mommies.
- 00:13
That’s why every Friday night they kidnap a mommy and roll dice to see who gets to be
- 00:17
read a bedtime story. To play this dice game, the pirates have to
- 00:22
know a little something about Disjoint Events.
Full Transcript
- 00:26
Disjoint Events cannot both occur at the same time. If one happens, the other doesn’t.
- 00:34
If a pirate is flying in the air, he is not swimming underwater at the same time.
- 00:39
Disjoint Events are also described as Mutually Exclusive, because the occurrence of one excludes
- 00:46
the occurrence of the other.
- 00:49
Another type of Disjoint Event is a Complementary Event. This is when one event occurs if and
- 00:55
only if the other event does not.
- 00:59
For example, a pirate flips a doubloon. If it is not tails, it must be heads, because
- 01:06
the events are complementary. Overlapping events are events that have one
- 01:14
or more outcomes in common.
- 01:16
For example, if a pirate walks into the bar, there’s a possibility he could be missing
- 01:21
both a leg and an eye. Back to the dice game. Let’s test your pirate
- 01:27
jargon.
- 01:30
How would you describe these events:
- 01:32
Rolling a die and getting an odd number or a 4. Note that the weird bar sign isn't a
- 01:39
typo, that bar sign is just another way for mathematicians to write "or."
- 01:44
They are mutually exclusive, because a 4 cannot be an odd number.
- 01:53
How about rolling a die and getting an odd number or an even number?
- 01:57
They are both mutually exclusive and complementary, because if you don’t get an even number
- 02:04
you get an odd number, and vice versa.
- 02:07
And finally, rolling a die and getting an even number or a four.
- 02:13
They are neither mutually Exclusive nor Complementary. They are overlapping events, though.
- 02:24
Well, looks like this Friday will end like all pirate Fridays.
- 02:30
Nobody understands the convoluted rules of the dice game, so they untie Mommy and have
- 02:35
a big dance party instead.
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