Find the probability of drawing 5 cards; 3 are aces and exactly one is a king.
(4C3 * 4C1 * 44C1)/(52C5) = .000006156
100
Find the sum of the geomtric sequence
4, -2, 1, -1/2, 1/4, -1/8 .......
2.666666...
100
Find the mean, median, and mode of
( 14.28, 16, 39, 61, 33, 23, 26, 8, 13, 9, 5)
Mean: 22.48
Median: 16
Mode: There isn't one!
100
Evaluate 12 C 4.
495
200
Evaluate 789 C 787
310,866
200
Suppose that the probability of prducing a defective baseball bat is .02. Four bats are selected at random. What is the probability that the lot of four bats does not contain any defective bats?
.992
200
What is the 40th term: An= (n^2-1)/(n^2+1)
39
200
What is the average test score of a class of 10 amazing students if they receive the following test scores?
50%, 52%, 64%, 76%, 83%, 64%, 96%, 100%, 95%, 93%, 99%
87.2%
200
How many license plates can be made if there are 6 spaces and the first 4 are letters and the last 2 are digits?
45,697,600
300
How many 5-character code words are there if the first character is always a letter and the other characters are letters and/or digits?
26 * 36 * 36 * 36 * 36 = 43,670,016
300
2 identical cookie jars are on a counter. Jar A contains 2 chocolate chip and peanut butter while Jar B contains one chocholate chip. We select a cookie at random. What is the probability that the first cookie chosen is chocolate chip?
.75 or 75%
300
Find the explicit frmula for the nth term:
12, 9.5, 7, 4.5, 2.....
An= 14.5-2.5n
300
What is the Standard Deviation of the set:
2, 4, 6, 7, 9, 13, 53, 78
28.15772
300
Find the numbers of Row 9 in Pascal's Triangle.
1 9 36 84 126 126 84 36 9 1
400
How many different ways can 15 Honors Precalculus students sit in a circle?
14! = 87,178,291,200
400
2 identical cookie jars are on a counter. Jar A contains 2 chocolate chip and peanut butter while Jar B contains one chocholate chip. We select a cookie at random. Given that the first cookie you pick is chocolate chip, what is the probability that it came from Jar A?
1/3
400
Does the sequence converge or diverge? If it converges, what number does it converge to?
∑_(J=1)^⋈▒〖2(3/4)^J〗
Converges to 6
400
Which method (mean, median, or mode) is best when trying to figure out how well students did on a test?
Mean as it accounts for every student in the class.
400
Ethan is feeling particularly lucky. He decides to play a prank on Mr. P. If the prank is decent, there is a 40% chance of Mr. P enjoying the prank. If the prank isn't that great, there is a 10% chance of Mr. P enjoying the prank. There is a .2% chance that the prank is actually that funny. What is the probability that Mr. P will enjoy the prank?
.1006 or 10.06%
500
Find the number of permutations that can be made from the word:
Floccinaucinihilipilification
29!/(2!*3!*2!*4!*9!*3!*2!) = 3.525105002 E 21
500
What is the probability that, out of a standard deck of cards, you will draw any king, a five of spades, an ace, and a queen of hearts, and a jack?
.00000020521
500
Write the sum in sigma notation
-8 + -3 + 2 +.... +92
21 E n=1 :: -8+5(n-1)
500
What is the mean, median, mode, and standard deviation of the following list?
1, 2, 3, 3, 3, 5, 13, 15, 32
Mean: 8.55556
Median: 3
Mode: 3
S.D: 10.10088
500
A travel agent is trying to schedule a client's trip from city A to city B. There are 3 direct flights. 3 flights from A to connecting city C and 4 flights connecting from city C to city B. How many trips are possible?