5.2
Let the sample space be S =(red, green, blue, orange, yellow,pink). Suppose that the outcomes are equally likely.
Suppose that E=(yellow). Compute the probability of Ec
5/6
What is it mean when two events are independent
no influence on each other
A basket contains three apples, three peaches, and four pears. You randomly select a piece of fruit. What's the probability you randomly selected an apple or a peach
3/5
What is the probability of obtaining 4 ones in a row when rolling a fair, six sided die?
(1/6)4= 0.00077
Find the probability of selecting a boy or blond-haired person from 14 girls, 5 whom have blond hair, and 17 boys, 6 of whom have blond hair
22/31
If P(E)=0.6 and P(E|F)=0.34. are events E and F independent
No
P(A)=1/4 P(B)=13/20
find P(A or B)
9/10
For the month of June in the city of Boston, 37% of the days are cloudy. Also in the month of June in the city of Boston, 21% of the days are cloudy and rainy. What is the probability that a randomly selected day in June will be rainy if it is cloudy.
21/37= 0.567
Find the probability of two dice being tossed and showing a sum of 7 or a sum or 9
5/18=0.277
The notation of P(F|E) means the probability of event ____ given event____.
Event F given E has occurred
A bag contains 2 red, 3 green and 2 blue balls. Two balls are drawn at random. What is the probability that none of the balls drawn are blue?
5/7 X 4/6 = 10/21
suppose that E and F are two events and that P(E)=0.8 and P(F|E)=0.4. What is P(E and F)?
0.8 X 0.4 = 0.32
You role a six-sided number cube labeled 1 through 6. Find the probability that you role a 4 or a prime number
2/3
Suppose that E and F are two events and that
P(E and F)=0.21 and P(E)=0.4. What is P(F|E)?
0.525
Two dice are thrown simultaneously. What is the probability of getting two numbers whose product is even?
1/2
A committee consists of four women and three men. The committee will randomly select two people to attend a conference in Hawaii. Find the probability that both are women?
(4/7)2=0.326
Exclude leap year
Compute the probability that a randomly selected person does not have a birthday on the 1st day of a month
353/365 = 0.967
About 13% of the population is left-handed. If two people are randomly selected, what is the probability that both are left-handed?
What is the probability that at least one is right handed?
(0.13)2=0.0169
1-(0.13)2=0.9831
A bag contains 4 white, 5 red and 6 blue balls. Three balls are drawn at random from the bag. The probability that all of them are red, is?
2/91
Joe, Bill, Sarah, Tom and Carlos are going to play golf. They will randomly select of two players each. How many different set of teams can be made?
4C2=6