QUARTER 4 FBA Reviewer Flashcards
True or False: There are 450 three-digit even numbers with repetition of digits allowed.
True
What will be the sample space if 2 coins are tossed?
HH, HT, TH, & TT
If a die is rolled and a coin is tossed, what are the possible outcomes?
H1, H2, H3, H4, H5, H6, T1, T2, T3, T4, T5, T6,
How many ways can letters A, B, and C be arranged?
6 ways
How many 3-digit numbers can be formed using the digits {1,2,3,4,5} if digits are not repeated?
Answer: 60 Solution: 1st digit = 1,2,3,4,5 = 5 ways 2nd digit = (1,2,3,4,5) - 1 = 4 ways 3nd digit = (1,2,3,4,5) - 2 = 3 ways
5 * 4 * 3 = 60
Four students took a ride going home from school. If there are exactly four seats available, in how many ways can they be seated?
Answer: 24
Solution: 4! = 4 * 3 * 2 * 1 = 24
Which of the following is not a possible sum when a pair of fair dice fall?
x > 12
Which of the following is the highest possible sum when 3 fair dice fall?
18
There are three trails that lead to a camp on the hill.
(a) In how many ways can a scout go up and down passing by on any trail?
(b) In how many ways can a scout go up and down passing by on a different trail?
(a) 9
Solution: 3 * 3 = 9
(b) 6
Solution: 3! = 3 * 2 * 1 = 6
A company has a security system that uses digits 1 to 6, if repetition of digits is allowed, how many four-digit security codes are there in all?
Answer: 1296
Solution: 6^4 = 1296
From the word “BRAVE”, how many letter arrangements are possible if the first and last letter is a vowel?
Answer: 12 Solution: 1st letter = vowel (A or E) = 2 5th letter = vowel = 1 2nd, 3rd, 4th = 3! = 6
2 * 1 * 6 = 12
A measure or estimation of how likely an event will occur.
Probability
Set of all possible outcomes of an experiment
Sample Space
Set of all induvidual outcomes of an experiment
Sample Point
A repeatable procedure with a set of possible results.
Experiment
