What is the symbol for intersection and union?
U - union "Upside down U" - intersection
What is the probability of this team not gaining 2+ yards?
0.4
In the nursery rhyme, who had a farm with a dog named BINGO?
Old MacDonald
What variable is sometimes used on the tree diagrams when finding probabilities?
p or 1 - p
Daniel enjoys playing darts, and he hits the bullseye in 21% of his throws. Assume the outcome of Daniel’s throws is independent. Write the probability notation for Daniel not hitting the bulls eye.
P(not hitting bulls eye) = 0.79
What type of probability has this symbol in the notation?
|
Conditional Probability
In a recent year, a basketball player had a 65% success rate on free throws. When he made his first free throw, he successfully made the second free throw 85% of the time. However, when he missed the first free throw, he successfully made the second free throw only 50% of the time.
Write the three probability notation statements.
P(make a free throw) = 0.65
P(made second free throw | made first free throw) = 0.85
P(made second free throw | missed first free throw) = 0.5
What is the world record for the longest hiccupping spree?
A. 68 years
B. 50 years
C. 82 years
A. 68 years
When trying to find out which strategy has a higher probability of winning a game what math symbol do we use to compare the values of each strategy?
> greater than inequality symbol
What is the probability of choosing a desk that has a Santa hat on it? (my desk not included)
6/33
What word means "Measures the proportion of games the team would win if the could replay the game over and over again in the same context"
Win Probability
What is the probability that this team loses?
0.5067 + 0.0892 = 0.5959
What animal’s milk is pink?
Hippopotamus
Liam practices basketball regularly, and he makes a 3-point shot in 21% of his attempts. Assume the outcome of each shot is independent. What is the probability of Liam making 4, 3 point shots back to back?
P(making 4, 3 point shots) = (0.21)4 = 0.0019
What is the probability of losing the game?
0.892 - 0.329p
What word means "a diagram with a structure of branching connecting lines, representing different processes and relationships"
Tree Diagram
What is the probability of the team winning the game given that they gained 2+ yards?
0.6/0.6 = 1
Benjamin Franklin was a key figure in the drafting of the United States Constitution. Which state did he represent during the Constitutional Convention in 1787?
Pennsylvania
What is the probability of a team making a first down given that they lost?
P(first down | lost) = 0.18/0.51 = 0.3529
Create a tree diagram for the following example:
Sophia reads books on 50% of her free weekends. If she reads, there is a 0.80 probability that she feels relaxed by Sunday evening. If she doesn’t read, there is a 0.60 probability that she feels relaxed by Sunday evening. Suppose we select a random weekend and record whether Sophia reads and whether she feels relaxed.
weekend
reads 0.5 : feels relaxed 0.8 : doesn't feel relaxed 0.2
doesn't read 0.5 : doesn't feel relaxed 0.6 :
feels relaxed 0.4
What word means "the extent to which an event is likely to occur, measured by the ratio of the favorable cases to the whole number of cases possible"
Probability
How many branches should be on the tree diagram for this example: Suppose that 5% of athletes at a certain university are using steroids or other performance-enhancing drugs (PEDs). Unfortunately, the tests used to detect steroids aren’t perfect. Suppose that 3% of athletes who are not using steroids will test positive and be accused of using steroids. Meanwhile, 1% of athletes who are using steroids will test negative and escape detection.
In the context of email, what does “CC” stand for?
Carbon Copy
Solve the following inequality:
0.432p + 0.109(1 - p) > 0.331
Alex plays video games on 60% of his free evenings. If he plays video games, there is a 0.70 probability that he completes his homework on time. If he doesn’t play video games, there is a 0.90 probability that he completes his homework on time. Create a tree diagram for this scenario.
Evening choice -->
play video games (0.6) --> completes HW (0.7)
--> doesn't complete HW(0.3)
doesn't play VG (0.4)--> completes HW (0.9)
--> doesn't complete HW (0.1)