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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 Theoretical Probability?
When a probability is based on a model or ideal circumstance.
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 get 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

What is the formula for calculating conditional probability?

P(A|B)=P(A and B)/P(B)

300

The probability that a student 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 St Clare's likes country music 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

A Year 9 class 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
What is the sample space?
the collection of all possible outcomes.
400

The probability that a student 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 year 10 students at a school. 36 play sports and 34 do not. You randomly select 4 students. What's the probability that you get at least one student 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

What does it mean for two events to be mutually exclusive?

The have no elements in common.

500

The probability that a student 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 being 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

Shade (AUB)' on a Venn diagram

Teacher to check!