Final Exam Review-A

Factorial

·  ______is sometimes referred to as the “countdown” function in the lower grades.

·  Factorials are (additive, multiplicative) functions in mathematics.

·  Factorials can be done by ______or with a ______.

·  is impossible for my calculator, but for me the answer is easy, it is ______.

·  People are ______than calculators! J

·  0! Is equal to ______by definition.

Permutations

·  When doing permutations, ______is important.

·  P(25, 17)

·  P(7, 7)

·  How many different arrangements of any two of the three primary and three secondary colors be made?

·  There are four students in a group and there are 7 groups entered in a crochet tournament. How many different ways can the teams win 4 trophies? The students win four trophies?

Combinations

·  When doing combinations, order (is, is not) important.

·  C(25, 17)

·  C(7, 7)

·  How many different ways can any two of the three primary and three secondary colors be mixed together?

·  How many 7th chords of four notes each can be made from the following scale: CDEFGABC?

Independent

·  What is the probability of drawing a face card from a standard deck of playing cards?

·  What is the probability of rolling a sum of 7 or 11 when rolling two fair dice?

·  What is the probability of getting at least one head when flipping 4 fair coins?

·  What is the probability of something that is a sure thing?

·  What is the probability of something that can never happen?

·  There are ten marbles in a bag: 5 blue, 2 red, 3 white. P(RWB) with replacement?

·  What is the probability of NOT drawing a red card or a face card from a standard fair deck of cards?

Dependent

·  There are ten marbles in a bag: 5 blue, 2 red, 3 white. P(RWB) without replacement?

·  What is the probability of drawing an ace and then a KQJ10 of any suit?

·  What is the probability of NOT drawing an ace and then a KQJ10 of any suit?

Conditional Probability

·  What is the probability of drawing a face card from a standard deck of playing cards, knowing there are only red cards left?

·  What is the probability of rolling a 3 on either die when rolling two dice, knowing the sum is 6?

·  What is the probability of rolling a 1 on either die when rolling two dice, knowing the sum is 6?

·  What is the probability of rolling a 1 on either die when rolling two dice, knowing the sum is 8?

·  What is the probability of rolling a 6 on either die when rolling two dice, knowing the sum is 11?

·  What is the probability of flipping five coins to get HHTHT, knowing HHT were on the first three?

·  What is the probability of flipping three coins to get any 2 H and 1 T, knowing one coin landed T?

Odds

·  What are the odds of getting HH when flipping 2 coins? What is the probability in favor?

·  What are the odds against getting HH when flipping 2 coins? What is the probability against?

·  What are the odds of drawing a spade from a deck of cards? Odds against? P(for)? P(against)?

·  What are the odds against drawing an ace or a face card from a deck of cards? Odds for? P(for)? P(against)?