Vocabulary
In a probability experiment, what is a sample space?
The collection of all possible outcomes
A. Evaluate 6C4
B. Evaluate 14P3
A. 30/2=15
B. 14 X 13 X 12 = 2184
In the game or roulette, the wheel has slots numbered 0,00, and 1 through 36. A metal ball rolls around a wheel until it falls into one of the numbered slots. What is the probability that the ball will land in the slot numbered 17 two times in a row.
1/38 X 1/38 = 1/1444 or 0.0006925
a six-sided die is tossed. What is the probability that it shows 2 if you know it shows a number less than 5.
1/4
Suppose that a single card is selected from a standard 52-card deck. Compute the probability of drawing a king or drawing a queen or drawing a jack
12/52 or 3/13
In probability, what is the meaning of two events being disjoint?
Two events are disjoint if they have no outcomes in common, Another name for disjoint events is mutually exclusive events.
In how many ways can horses in a 10-horses race finish first,second, and third?
10P3 = 720 ways
The probability that a randomly selected 24-year-old male will survive the year is 0.9986 (some source). What is the probability that 3 randomly selected 24-year-old males will survive the year?
.9958
using the sample space (5,6,7,8,9,10,11,12,13,14,15), find the probability that the randomly selected number is greater than 9, given less than 13.
3/9 or 1/3
suppose a single card is selected from a standard 52-card deck. Compute the probability of the event drawing a king or drawing a diamond.
16/52=4/13
What is a subjective probability of an outcome?
A subjective probability of an outcome is a probability obtained on the basis of personal judgement.
How many different simple random samples of size 4 can be obtained from a population whose size is 20.
20C4= 4845
The international airlines transportation Association *(IATA) assigns three-letter codes to represent airport locations. For example, the code for Boston is BOS. How many different airport codes are possible?
263 = 17,576
A box contains three blue marbles, five red marbles, and four white marbles. If one marble is drawn at random find the probability that the marble is blue, given its not white.
3/8
If P(E)=0.25 and P(F)=0.45
Find P(E or F) if P(E and F) = 0.15
0.55
What is the basic premise of Probability?
Probability deals with experiments that yield random short-term results or outcomes yet reveal long-term predictability.
How many distinguishable DNA sequences can be formed using three A's two C's, two G's and three T's
10!/3! X 2! X 2! X 3! = 25,200 different sequences are possible.
Three members from a 14-member committee are to be randomly selected to serve as chair, vice-chair, and secretary. The first person selected is the chair, the second is the vice-chair, and the third is the secretary. How many different committee structures are possible?
14 X 13 X 12 = 2184
The probability that Billy smokes is 3/10. The probability that he smokes and develops lung cancer is 4/15. Find the probability that Billy develops lung cancer, given he smokes
8/9
Suppose we randomly select chips from a bag. Each chip is labeled (0,1,2,3,4,5,6,7,8,9)
E represents a number less than or equal to 2
F represents a number greater than or equal to 8
what is Fc?
(0,1,2,3,4,5,6,7)
What's the purpose of a probability model?
A probability model lists the possible outcomes of a probability experiment and each outcome's probability
You are invited to a engagement party, and you only can represent your name by either two, three or four letters (repetition is not allowed). What is the maximum number of names.
375,050 names
The probability that a driver who is speeding gets pulled over is 0.8. The probability that a driver gets a ticket, given that he or she is pulled over, is 0.9. What is the probability that a randomly selected driver who is speeding gets pulled over and gets a ticket?
(0.8)(0.9)= 0.72
A number is selected, at random, from the set
(1,2,3,4,5,6,7,8). Find the probability that the number selected is prime given it's odd.
3/4
Suppose a single card is selected from a standard 52-card deck. Compute the probability of selecting a king or a red card.
7/13