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Probability Fundamentals
bencejdanko
The probability of an event
P
(
A
)
P(A)
P
(
A
)
must always satisfy:
0
≤
P
(
A
)
≤
1
0 \leq P(A) \leq 1
0
≤
P
(
A
)
≤
1
P
(
A
)
≥
1
P(A) \geq 1
P
(
A
)
≥
1
0
<
P
(
A
)
<
1
0 < P(A) < 1
0
<
P
(
A
)
<
1
−
1
≤
P
(
A
)
≤
1
-1 \leq P(A) \leq 1
−
1
≤
P
(
A
)
≤
1
If events
A
A
A
and
B
B
B
are independent, what is
P
(
A
and
B
)
P(A \text{ and } B)
P
(
A
and
B
)
?
P
(
A
)
/
P
(
B
)
P(A) / P(B)
P
(
A
)
/
P
(
B
)
0
0
0
P
(
A
)
+
P
(
B
)
P(A) + P(B)
P
(
A
)
+
P
(
B
)
P
(
A
)
×
P
(
B
)
P(A) \times P(B)
P
(
A
)
×
P
(
B
)
You roll a standard 6-sided die. What is the probability of rolling a number greater than 4?
1
/
3
1/3
1/3
2
/
3
2/3
2/3
1
/
6
1/6
1/6
1
/
2
1/2
1/2
If the probability of it raining tomorrow is
0.3
0.3
0.3
, what is the probability that it does
not
rain?
0.7
0.7
0.7
−
0.3
-0.3
−
0.3
0.3
0.3
0.3
0.0
0.0
0.0
Which term describes two events that cannot happen at the same time?
Mutually Exclusive
Independent
Correlated
Conditional
What is the formula for Conditional Probability
P
(
A
∣
B
)
P(A|B)
P
(
A
∣
B
)
?
P
(
A
)
×
P
(
B
)
P(A) \times P(B)
P
(
A
)
×
P
(
B
)
P
(
A
∩
B
)
P
(
B
)
\frac{P(A \cap B)}{P(B)}
P
(
B
)
P
(
A
∩
B
)
P
(
A
)
−
P
(
B
)
P(A) - P(B)
P
(
A
)
−
P
(
B
)
P
(
A
)
P
(
B
)
\frac{P(A)}{P(B)}
P
(
B
)
P
(
A
)
A bag contains 3 Red balls and 2 Blue balls. You pick one, keep it, and pick another. Are these events independent?
Yes
No
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