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Probability Answer Key

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Terms
#1 The measure of how likely an event is Probability
#2 C. Any outcome or a group of outcomes Event
#3 An arrangement where order doesn't matter. Combination
#4 An event which the occurrence of one event affects the probability of the occurrence of the other. Dependent Event
#5 The chance of an event happening as determined by calculating results that would occur under ideal circumstances. Theoretical Probability
Basic Probability
#1 In a standard deck of cards (52 cards). Find P(green). 0
#2 You roll a die. Find P(4 or 5). 1/3
#3 There is a box of 12 colored pencils, 5 blue, 4 red, and 3 green. Find P(blue). 5/12
#4 You have a bag of 24 marbles. 8 are blue, 9 are red, 5 are green and 2 are yellow. Find P(Red or Yellow). 11/24
#5 In a standard deck of cards (52 cards). Find P(King or Queen or 7 of hearts). 9/52
Counting Principle
#1 Ben has 10 shirts and 5 pairs of pants. How many different outfits can Ben have? 50
#2 How many different combinations are possible from 8 pen colors and 12 different colored notepads? 96
#3 How many different cars can you get from 5 models, 3 colors, and 4 different engines? 60
#4 There is a school lunch special where you can pay $5 for a sandwich, a drink, and a snack. There are 5 different sandwiches, 4 different drinks, and 4 different snacks. How many different combinations of sandwich, drink, and snack can you have? 80
#5 The hardware store sells both wood and metal screws in 3 different head widths and 3 different shank lengths. How many different screws are available? 18
Combinations and Permutations
#1 A child asks a pet store owner for any 2 pet mice from a cage containing 15. How many different pairs of mice are possible? Combination
#2 In how many different orders can you play 4 cds? 24
#3 You have six choices of sandwich fillings. How many different sandwiches could you make by choosing two of the six fillings? Combination
#4 6 people walk into a fast food restaurant at the same time. How many different ways can the first 3 be served? 120
#5 In a class of 18, how many different ways can the class elect a president, vice president, treasurer, and secretary? 73440
Independent and Depnendent Events
#1 You roll a die two times. Find P(even, then 1) 1/12
#2 You spin a spinner with four even parts(blue, red, green, yellow) and draw a card. Find P(blue, then Ace). 1/52
#3 You pick a marble from a bag containing 1 green marble, 4 red marbles, 2 yellow marbles, and 3 black marbles. You replace the first marble and then select a second one. Find P(yellow, then black). 3/50
#4 Seven girls and five boys volunteer to represent their class at a school assembly. The teacher selects one name and then another from a bag containing the twelve students’ names. Find P(2 girls). 7/22
#5 A box contains 5 green marbles, 5 blue marbles, and 3 orange marbles. You draw one marble, do not replace it and then draw another marble. Find P(green, then blue). 15/91
Final Question