Save
GCSE Mathematics
5. Probability
5.3 Conditional Probability
Save
Share
Learn
Content
Leaderboard
Share
Learn
Cards (91)
P(A|B) represents the probability of event A given that event B has occurred.
True
Steps to solve a conditional probability problem using the formula
1️⃣ Identify event A and event B
2️⃣ Calculate P(A ∩ B)
3️⃣ Calculate P(B)
4️⃣ Apply the conditional probability formula
What is the value of P(A|B) when drawing a red card given that a heart has already been drawn?
1
1
1
What is the relationship between P(A|B) and P(A) for independent events?
P
(
A
∣
B
)
=
P(A|B) =
P
(
A
∣
B
)
=
P
(
A
)
P(A)
P
(
A
)
Drawing cards without replacement is an example of
dependent
events.
The conditional probability formula is used to calculate the probability of A given that B has occurred.
True
What does P(A|B) represent in the conditional probability formula?
Probability of A given B
Conditional probability is the probability of an event A occurring regardless of event B.
False
The conditional probability
formula
allows calculating the probability of one event given another has occurred.
True
Match the type of event with its relationship:
Independent Events ↔️ P(A and B) = P(A) × P(B)
Dependent Events ↔️ P(A and B) ≠ P(A) × P(B)
Conditional probability
is the probability of an event occurring given that another event has already occurred.
True
For independent events, the probability of both events occurring is the product of their individual probabilities.
True
The probability of dependent events A and B occurring together is equal to the product of their individual probabilities.
False
For dependent events, the probability of A and B is not equal to the product of their individual
probabilities
When rolling a 6-sided die, the probability of rolling an odd number is
1/2
.
True
What is conditional probability?
Probability given another event
What does P(A ∩ B) represent in the conditional probability formula?
Both A and B
What is the value of P(A ∩ B) in the example of drawing a red heart from a standard deck of 52 cards?
13
52
\frac{13}{52}
52
13
In independent events, the
probability
of both events occurring is the product of their individual probabilities.
True
Independent events affect each other's probabilities.
False
In dependent events, P(A ∩ B) is equal to P(A) × P(B).
False
What does P(A|B) mean in the conditional probability formula?
Probability of A given B
What does P(B) represent in the denominator of the conditional probability formula?
Probability of event B
What does P(B) represent in the conditional probability formula?
Probability of event B
What is the relationship between probabilities for independent events A and B?
P(A and B) = P(A) × P(B)
What is an example of an independent event?
Flipping a coin twice
What is the probability of drawing a red card given you have already drawn a heart from a standard deck of 52 cards?
1
How is the probability of two independent events calculated?
P(A) × P(B)
Independent events occur when the occurrence of one event does not affect the probability of the other
event
Why is drawing cards from a deck without replacement considered a dependent event?
Composition of deck changes
If P(A ∩ B) = 1/6 and P(B) = 1/2, then P(A|B) =
1/3
Steps to apply the conditional probability formula
1️⃣ Identify the two events, A and B
2️⃣ Determine P(A ∩ B)
3️⃣ Determine P(B)
4️⃣ Calculate P(A|B)
The conditional probability formula is
P(A|B)
P(B) in the conditional probability formula represents the probability of event
B
The probability of rolling an odd number with a 6-sided die is
1/2
Steps to solve conditional probability problems using Venn diagrams
1️⃣ Draw the Venn diagram with two circles
2️⃣ Fill in the diagram with the given probabilities
3️⃣ Calculate the necessary probabilities
4️⃣ Use the conditional probability formula
What are independent events?
Events with no influence
For dependent events, what is the relationship between P(A and B), P(A), and P(B)?
P(A and B) ≠ P(A) × P(B)
For dependent events, the probability of A and B is equal to the product of their individual probabilities.
False
The intersection of events A and B, P(A ∩ B), represents the
probability
of both events occurring together.
True
See all 91 cards
See similar decks
5.3 Conditional Probability
GCSE Mathematics > 5. Probability
34 cards
5.3 Conditional Probability
GCSE Mathematics > 5. Probability
91 cards
5.3 Conditional Probability
GCSE Mathematics > 5. Probability
34 cards
5.3 Conditional Probability
GCSE Mathematics > 5. Probability
34 cards
5.3 Conditional Probability
GCSE Mathematics > 5. Probability
76 cards
5.3 Conditional Probability
GCSE Mathematics > 5. Probability
60 cards
5. Probability
GCSE Mathematics
264 cards
5.1 Probability Concepts
Edexcel GCSE Mathematics > 5. Probability
130 cards
5.1 Understanding Probability
GCSE Mathematics > 5. Probability
67 cards
5.2 Probability Calculations
Edexcel GCSE Mathematics > 5. Probability
117 cards
5.1 Probability Concepts
AQA GCSE Mathematics > 5. Probability
39 cards
5.3 Experimental Probability
AQA GCSE Mathematics > 5. Probability
46 cards
5. Probability
Edexcel GCSE Mathematics
247 cards
5. Probability
OCR GCSE Mathematics
113 cards
5.2 Probability Calculations
OCR GCSE Mathematics > 5. Probability
87 cards
5.1 Probability Concepts
OCR GCSE Mathematics > 5. Probability
26 cards
5. Probability
AQA GCSE Mathematics
184 cards
4.5 Conditional Probability
AP Statistics > Unit 4: Probability, Random Variables, and Probability Distributions
48 cards
2.3.3 Conditional probability
OCR A-Level Further Mathematics > Mathematics A > 2. Statistics > 2.3 Probability
38 cards
6.3 Probability Distributions
GCSE Mathematics > 6. Statistics
76 cards
5.2 Combined Events
GCSE Mathematics > 5. Probability
106 cards