Mickey
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
I haven't won in the last 25 pulls on the slot machine, so I must be having a bad day and I'm sure to lose if I play again.
Is this statement true or false? Explain
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
You need to create a password to your Disney Plus account. Your password must be 7 characters. The first two characters of your password must be numbers. The last 5 characters can be a mixture of numbers and lowercase letters. How many different passwords can you create if repetition is allowed?
10(10)(36)(36)(36)(36)(36) = 6,046,617,600
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
Elio is throwing a surprise party for his new toy that will be arriving today. He has room on his bed for 20 stuffed animals. He has a total of 30 different stuffed animals to choose from. How many different groups of party guests could there be on his bed?
C(30,20) = 30,045,015
1-(P(no heads))^3 = 1-(1/8) = 7/8
The Disney Fan club needs to elect a new President, Vice President, Secretary, and Treasurer from the 150 members. How many possible committees can be formed?
P(150,4) = 486,246,600
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
Evaluate without using the factorial key on a calculator.
8!/6!
56
1/8
A lottery posted the probabilities of winning each prize. Suppose a lottery ticket cost $1. Find the expected value of the winnings for a single ticket.
$-.96
Suppose you toss a fair coin 10,000 times. Should you expect to get exactly 5000 heads? Why or why not?
You shouldn't expect to get exactly 5000 heads, because you cannot predict precisely how many heads will occur. The proporation of heads should approach 0.5 as the number of tosses increases (LLN).
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
You are given 6 to 1 odds against tossing three tails with three coins, meaning you win $6 if you succeed and you lose $1 if you fail. Find the expected value of the game. How much money would you expect to win/lose in 100 games?
(-1)(7/8) + 6(1/8) = -.125
Lose $12.5
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