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.

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 (3 2 = 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 (2 3 = 8). The eight outcomes are AAA, AAB, ABA, ABB, BAA, BAB, BBA, BBB.

IGCSEMaths A: HigherEdexcelFlashcards

Probability Diagrams - Venn & Tree Diagrams (Edexcel IGCSE Maths A)

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FrontProbability & Venn Diagrams
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 $P (A)$ from a Venn diagram that shows sets $A$ and $B$ .
$P (A)$ is the probability of being in set $A$ .
This is the number inside the full circle of set $A$ divided by the total number of the whole Venn diagram.
Describe how to find $P (A \cap B)$ from a Venn diagram that shows sets $A$ and $B$ .
$P (A \cap B)$ is the probability of being in the intersection of set $A$ and set $B$ .
This is the number inside the overlapping region of set $A$ and set $B$ divided by the total number of the whole Venn diagram.
True or False?
If $A$ and $B$ are mutually exclusive, then $P (A \cap B) = 0$ .
True.
If $A$ and $B$ are mutually exclusive, then $P (A \cap B) = 0$ .
On a Venn diagram, if $A$ and $B$ 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 $P (A \cap B) = 0$ .
True or False?
To find $P (A \cup B)$ you need to double-count the numbers in the intersection (overlap) as they occur twice.
False.
To find $P (A \cup B)$ you do not double-counting the intersection $A \cap B$ , you just count them once.
Describe which region on a Venn diagram is required to calculate $P (A \cap B \cap C)$ .
The region required to calculate $P (A \cap B \cap C)$ is the one that is the overlap of all three sets $A$ , $B$ and $C$ .
True or False?
On a Venn diagram showing sets $A$ and $B$ , the region required to calculate $P (A')$ is the part of set $B$ that does not overlap $A$ .
False.
On a Venn diagram showing sets $A$ and $B$ , the region required to calculate $P (A')$ is anything that is outside the circle of $A$ .
This includes the part of set $B$ that does not overlap set $A$ , but also includes the part outside of both $A$ and $B$ .
On a Venn diagram showing sets $A$ and $B$ , explain how to calculate $P (A | B)$ .
$P (A | B)$ is a conditional probability meaning the probability of being in $A$ , given that you are in $B$ .
This means that your probability should be out of set $B$ only, not out of the whole Venn diagram.
The only part of set $A$ in set $B$ is $A \cap B$ so divide the number in $A \cap B$ by the total number in $B$ .
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.

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