Basic Probabilities
You are rolling a ten-sided dice. What is the probability of rolling an 8?
1/10
What does the U in P(A U B) mean?
or
What does the line in P(A | B) mean?
"given"
Two events A and B are independent if P(A | B) = ?
P(A)
When are Unit 2 test corrections due?
Monday!!
You are rolling a 15-sided die. What is the probability of rolling a number greater than 10?
5/15 or 1/3
The addition rule tells us that P(A or B) is equal to what?
P(A)+P(B)-P(A and B)
The probability of selecting a person who likes ice cream, given that they are under the age of 20, is 8/10. What does the 8 represent?
8 represents the number of people who like ice cream and are under the age of 20.
Two events A and B are independent if P(A)*P(B) = ?
P(A and B)
What is the degree of a polynomial
The highest power in a polynomial
You have a drawer with 3 red shirts, 5 green shirts, and 8 blue shirts. What is the probability of selecting a red shirt?
3/16
When randomly selecting a student at HPHS, there is a 40% chance you select someone with a dog, a 50% chance that you select someone with a cat, and a 20% chance that you select someone with a dog and a dog. What is the probability of selecting someone with a dog or a cat?
.70
Slide 4
Not Independent.
P(J) = 145/277 = 0.52
P(J | D) = 58/139 = 0.42
Factor the trinomial
x^2 + 7x + 12
(x+3)(x+4)
You are rolling a ten-sided dice. What is the probability of rolling a number that is less than 5 and even?
2/10 or 1/5
In a survey of 500 HPHS students, 100 said they participate in a club, 208 said they participate in a sport, and 250 said they participate in a club or a sport. Determine the probability of randomly selecting a student who participates in both a club and a sport.
58/500 or 0.116
Slide 2
157/229
Given events A and B, such that P(A) = 0.6, P(B) = 0.5, and P(A ∪ B) = 0.8, determine whether A and B are independent or dependent.
Yes, they are independent.
P(A and B) = 0.3
P(A) * P(B) = 0.3
Find f(g(1))
You are rolling a 15-sided dice. What is the probability of rolling a number that is less than 10, odd, and a multiple of 3?
2/15
In a group of 40 people, 20 have brown hair, 22 have blue eyes, and 15 have both brown hair and blue eyes. How many people have neither brown hair nor blue eyes?
13 people
Slide 3
A student is more likely to jog if both siblings jog.
In contract negotiations between a local government agency and its workers, it is estimated that there is a 50% chance that an agreement will be reached on the salaries of the workers. It is estimated that there is a 70% chance that there will be an agreement on the insurance benefits. There is a 20% chance that no agreement will be reached on either issue.
Find the probability that an agreement will be reached on both issues.
Based on this answer, determine whether the agreement on salaries and the agreement on insurance are independent events. Justify your answer.
The probability that an agreement will be reached on both issues is 0.4
They are not independent events
P(S and I) = 0.4
P(S)*P(I) = 0.35
Simplify the expression:
8xi^10 + 10yi^3+15yi
-8x+5yi