You are designing your craft room. You have 3 different choices for painting your walls, 8 different arrangements of your shelves, and 4 different options for your cricut to go. How many different ways could you set up your craft room?
96 ways
You are dealt two cards successively (without replacement) from a 52-card deck. Find the probability that the first card is a king and the second card is face card. (Give your answer as a decimal rounded to three places.)
Dependent, AND, (4/52)(11/51) = 0.017
Determine whether the following individual events are overlapping or non-overlapping. You are playing Monopoly and need either a sum of 12 to buy Boardwalk or sum of 10 to buy Park Place. What is the probability that you will get a roll with a sum of 10 or 12?
Non-Overlapping, OR, (1/36)+(3/36) = 4/36 = 1/9
1-(P(no heads))^3 = 1-(1/8) = 7/8
What is the probability of drawing a red face card from a standard 52 card deck?
6/52 = 3/26
Use the chart to answer the following question. What is the probability that a randomly selected person was given the drug improved?
75/90 = 0.833
Determine whether the following individual events are independent or dependent. Then find the probability of the combined event. Drawing four hearts in a row from a standard deck of cards when the drawn card is returned to the deck each time. (Give your answer a decimal rounded to 3 places.)
Independent, AND, (13/52)(13/52)(13/52) = 0.016
1/8
What is the probability of drawing either a Diamond or a five from a standard 52-card deck?
Overlapping, OR, (13/52)+(4/52)-(1/52) = 16/52 = 4/13
What is the probability that you randomly select a pink starburst (the superior flavor) from a bag of starbursts that consists of 20 pink, 15 red, 22 yellow, and 11 orange?
20/68 = 5/17
Use the chart to answer the following question. What is the probability that a randomly selected person was given the placebo or was in the control group?
210/300 = 0.7
A high school senior class gets to watch a movie at the end of the school year. Three senior will be chosen at random to form a committee to decide the movie. The senior class has 58 Disney fans and 20 non Disney fans (do such people really exist?). What is the probability that the committee will consist of 3 Disney fans? (Give your answer as a decimal rounded to 3 places.)
Dependant, AND, (58/78)(57/77)(56/76) = 0.406