Addition Rule!
Multiplication Rule
Complement Rule
Mutually Exclusive?
Vocabulary
100
What's the equation for the Addition Rule?
P(AorB) = P(A) + P(B)
100
What's the equation for the multiplication rule?
P(AandB) = P(A) x P(B)
100
What's the complement rule equation?
P(Ac) = 1- P(A)
100
How do you know if two events are mutually exclusive?
If the probability of the two events both occurring is 0.
100

What is the sample space?

The set of all outcomes.

200
Given events A and B, when is it appropriate to use the Addition Rule that subtracts out the P(AandB)?
When the two events are mutually exclusive.
200
Probability of getting a red light is 0.61. What's the probability that you don't ged a red light 4 days in a row?
0.0231
200
The probability that you go to the movies after school is 0.0035. What is the probability that you don't go to the movies after school?
0.9965
200
If P(A) = 0.35, P(B) = 0.68, and P(AandB) = 0.18. Are these events mutually exclusive? Why or why not?
No, because P(AandB) does not equal 0.
200

Define mutually exclusive events.

Two events that cannot happen at the same time.

300
The probability that a Sophomore has taken computer class is 0.35 and the probability that they've taken Science is 0.83. The probability that they've taken both is 0.29. What's the probability that they've taken either?
0.89
300
The probability of getting a red light is 0.61 and green is 0.35. What's the probability of getting two greens then a red?
0.0747
300
The probability that a teacher at BI likes country is 0.41. The probability that a teacher likes rap is 0.64. The probability that they like both is 0.32. What is the probability that they don't like either.
0.27.
300
The Junior class at BInCA consists of 80 students. 14 have a GPA over 3.5 and 28 have a GPA between 2.5 and 3.49. Are these two events mutually exclusive?
Yes, they share no outcomes in common.
300

Define independent events.

Two events that do not affect one another.

400
The probability that a Sophomore has taken computer class is 0.35 and the probability that they've taken Science is 0.83. The probability that they've taken both is 0.29. What's the probability that they've taken neither?
0.11
400
There are 70 juniors at BI. 36 play sports and 34 do not. You randomly select 4 juniors. What's the probability that you get at least one junior who plays sports?
0.9443
400
P(A) = 0.35, P(B)= 0.33, P(AandB)= 0.15. What is the probability of neither A nor B?
0.45
400
You interview 30 students. 12 play sports and 18 have siblings. 9 play sports and have siblings. Are these events mutually exclusive? Why or why not?
No. The probability of sports and siblings is greater than 0.
400

Give one of the axioms.

1 - All event have a probability > or equal 0.

2 - Probabilities of all outcomes in a sample space sum to 1.

3 - If {A1, A2, A3, ...} are mutually exclusive, then P(A1 U A2 U A3 U ...) = P(A1)+P(A2)+P(A3)+...

500
The probability that a Sophomore has taken computer class is 0.35 and the probability that they've taken Science is 0.83. The probability that they've taken both is 0.29. What's the probability that they've taken either but not both?
0.60
500
The probability of the light been green is 0.35. You drive through this light 4 days in a week. What's the probability that you get at least one green light?
0.8215
500
P(A) = 0.51, P(B)=0.23, P(C)=0.24. P(AandB) = 0, P(AandC) = 0, and P(BandC) = 0.14. What is the probability that none of these events happen?
0.15
500
The probability that teachers at BI like rap is 0.64. The probability that the teachers like country music is 0.71. The probability they like both is 0.22. Are these events mutually exclusive? Why or why not?
No, because the probability they like both is not zero.
500

What is the difference between an axiom, a theorem, a corollary and a proposition?

Axioms - assumed truths

Theorem - established and proven using axioms

Corollary - continuation of a theorem

Proposition - a statement that can be proved

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