True or False?
You can find probabilities from Venn diagrams.
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True or False?
You can find probabilities from Venn diagrams.
True.
You can find probabilities from Venn diagrams.
You divide the number in a specific region by the total number of the whole Venn diagram.
Describe how to find from a Venn diagram that shows sets and .
is the probability of being in set .
This is the number inside the full circle of set divided by the total number of the whole Venn diagram.
Describe how to find from a Venn diagram that shows sets and .
is the probability of being in the intersection of set and set .
This is the number inside the overlapping region of set and set divided by the total number of the whole Venn diagram.
True or False?
If and are mutually exclusive, then .
True.
If and are mutually exclusive, then .
On a Venn diagram, if and are mutually exclusive then their circles do not overlap (they cannot happen both at the same time).
This makes being in the intersection impossible, so .
True or False?
To find you need to double-count the numbers in the intersection (overlap) as they occur twice.
False.
To find you do not double-counting the intersection , you just count them once.
Describe which region on a Venn diagram is required to calculate .
The region required to calculate is the one that is the overlap of all three sets , and .
True or False?
On a Venn diagram showing sets and , the region required to calculate is the part of set that does not overlap .
False.
On a Venn diagram showing sets and , the region required to calculate is anything that is outside the circle of .
This includes the part of set that does not overlap set , but also includes the part outside of both and .
On a Venn diagram showing sets and , explain how to calculate .
is a conditional probability meaning the probability of being in , given that you are in .
This means that your probability should be out of set only, not out of the whole Venn diagram.
The only part of set in set is so divide the number in by the total number in .
True or False?
To find the probability of A and B using a probability tree diagram, you add the probabilities on the branches for A and B.
False.
To find the probability of A and B using a probability tree diagram, you do not add the probabilities on the branches for A and B.
To find the probability of A and B, you multiply along the branches.
True or False?
The probabilities on all of the branches in a probability tree diagram should add up to 1.
False.
The probabilities on all of the branches in a probability tree diagram should not add up to 1.
The probabilities on a set of branches (usually a pair) should add up to 1.
True or False?
The sum of the probabilities of all of the final outcomes on a probability tree diagram is equal to 1.
True.
The sum of the probabilities of all of the final outcomes on a probability tree diagram is equal to 1.
A tree diagram is used to represent two events, where both events have three possible outcomes.
How many possible final outcomes are there?
A tree diagram is used to represent two events, where both events have three possible outcomes.
There are nine possible final outcomes (32 = 9).
The nine outcomes are 11, 12, 13, 21, 22, 23, 31, 32, 33.
A tree diagram is used to represent three tennis matches, where all events have two possible outcomes, player A winning, or player B winning.
How many possible final outcomes are there?
A tree diagram is used to represent three tennis matches, where all events have two possible outcomes, player A winning, or player B winning.
There are eight possible final outcomes (23 = 8).
The eight outcomes are AAA, AAB, ABA, ABB, BAA, BAB, BBA, BBB.