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Random Experiments & Sample Spaces
Equiprobable Spaces
Permutations & Combinations
Probability Spaces
Odds
100
What is probability?
What is quantification of uncertainty.
100
You are rolling a pair of dice. Find the probability that at least one die comes up a one.
What is 11/36
100
The Blue Devil Cafe has 10 different ice cream flavors. How many different 3 scoop sundaes can be ordered?
What is 120 (10C3)
100
What is a event in probability spaces terms?
What is any subset of the sample space.
100
The probability that Lathan will score a touchdown is p=.90. The probability that Justin will score a touchdown is p=.52. Find the odds for each player that they will score a touchdown.
What is Lathan=9/10 Justin=13/25
200
List the sample space for flipping a coin.
What is H or T
200
You roll a die four times. If at least one of the rolls comes up an ace, you are a winner. Find the probability that you win.
What is .518
200
The Math Club is forming a committee to organize a Pi contest. If there are 20 members, how many different ways can they select a 5-person committee?
What is 15,504 (20C5)
200
What is a simple event?
What is a event with one outcome.
200
If the favorable to unfavorable odds of Abby going to college is 8:4. What are her unfavorable to favorable odds of the same situation?
What is 4:8.
300
What is the sample space of tossing 2 coins?
What is HH, HT, TT, and TH.
300
You draw 5 cards from a standard deck of cards. What is the probability that you draw 4 aces?
What is 48/2,598,960 or .0018590
300
The same 20 members of the Math Club are running for President, Vice-President, Secretary, and Treasurer. How many different way can those 4 offices be filled from the 20 members?
What is 116,280 (20P4)
300
What is a impossible event?
What is an event with no outcomes.
300
What is the probability that you will pick a red marble if there are 2 blue marbles and 5 red marbles in the bowl?
What is 5/7
400
What is the sample space of a sum of a pair of dice?
What is 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12
400
What do complementary events sum to?
What is 1.
400
The cupcake stand has 6 different flavors. How many 4 different cupcakes can be ordered?
What is 15. (6C4)
400
Consider the sample space S={O1, O2, O3, O4, O5} Suppose that Pr(O1)=.22 and Pr (O2)=.24 Find the probability assignment for the probability space when O3, O4, and O5 all have the same probability. For numbers 2 and 3.
What is Pr(O1)= .22, Pr(O2)= .24, Pr(O3)=.18, Pr(O4)= .18, Pr(O5)= .18
400
Now can you convert the probability from the previous question to odds?
What is 5:2
500
What is the sample space for a coin flipped three times?
What is HTH, THH, TTH, TTT, THT, HHH, HHT, HTT.
500
What is the occurrence of 1 event does not affect the probability of the occurrence of the other?
What is Independent Events.
500
If there are 30 members, how many different ways can they be selected for a 5 person committee?
What is 142506 (30C5)
500
Consider the sample space S={O1, O2, O3, O4} Suppose that Pr(O1)+Pr(O2) = Pr(O3)+Pr(O4) and that Pr(O1)=.15 Find the probability assignment for the probability space when Pr(O3)= .22
What is Pr(O1)= .15, Pr(O2)= .35, Pr(O3) .22, Pr(O4)= .28
500
The term "odds in favor of" refer to what?
What is favorable to unfavorable.