You use this principle when E can occur in M different ways
What is the Fundamental Counting Principle?
100
Determine the sample space: a taste tester has to rank three varieties of yogurt, A, B, and C, according to preference.
What is S = {ABC, ACB, BCA, BAC, CBA, CAB}?
100
A sequence is called a ____ sequence if the ratios between the numbers are the same.
What is a Geometric [sequence]?
100
write the first five terms where: a1 = 2 and r = 3
2, 6, 18, 54, 162
200
nth Term of a Geometric sequence.
What is a1r^n-1
200
The equation where order matters and repetition is NOT allowed.
What is n!/(n-r)! ?
200
A coin is tossed three times. Find and use a sample space to answer the question:
the probability of getting a Head on the first try and a Tail on the last.
*sides do not count*
An ordering of 'n' elements is called a ________ of the elements.
What is permutation?
200
Determine if geometric. If so give ratio and formula:
1/8, 1/4, 1/2, 1 ...
yes. d = 2. (1/8)2^n-1.
300
Sum of a Finite Geometric series.
What is
n
SIGMA a1r^i-1 = a1(1-r^n/1-r)
i=1
300
The equation where order does NOT matter and repetition is allowed. Permutation or Combination?
What is (n+r-1)!/r!(n-1)!; combination
300
An ______ is an event whose results is uncertain, and the possible results of the event are called______.
What is experiment and outcomes?
300
Find the finite sum of the geometric sequence:
15
SIGMA 2(4/3)^n
n=0
= a1(1-r^n/1-r) = 592.647
400
The sum of an infinite geometric series.
What is
infinity
SIGMA = a1r^i = a1/(1-r)
i=0
400
Equation for which order matters and repetition is allowed. Give an example for which this would be used.
What is n^r. Answers may vary.
400
You have a standard deck of 52 playing cards find the probability that the card is 9 or higher and red. (ace us high).
6 * 2 = 12; so 12/52 = 3/13
400
To determine the ______ of an event, you can use the formula p(E) = n(E)/n(s), where n(E) is the number of outcomes in the event and n(S) is the number of outcomes in the sample space.
What is probability?
400
8 people are boarding an aircraft. 2 have first class tickets and board before those in the economy class. In how many different ways can the eight people board the plane?
What is 1440 ways? (2!6!)
500
Another way to write n!/(n-r)!r!
What is nCr = (nPr)/r!
500
What is the equation for which order does not matter and repetition is not allowed. Give and example and is this a permutation or combination?
What is n!/r!(n-r)!. answers may vary; combination.
500
DAILY DOUBLE!!!!
You have a bag of marbles: purple, neon orange and x number of teal. There is 68 marbles in the bag. You draw twice. The probability of drawing a purple marble is 1/4 and the probability of drawing a neon marble is 11/34. How many teal marbles are there?
What is 29?
500
When selecting subsets of a larger set in which order is not important, you are finding the number of ______ of 'n' elements taken 'r' at a time
What is combinations?
500
In Massachusetts Mass Cash game, a player choses 6 distinct numbers 1 - 40. In how many ways can a player select these 6 numbers? choose 6 of your own as well