Tangent
Expected Value
Real World
Unions, Intersections, Complements
100
(triangley)/(trianglex)
What is "slope" or change in y over change in x.
100
Expected Value
What is . . . the prediction of results in a game of chance. Also referred to as the long-term average or mean.
100
The area of the shaded outer ring of this target.
What is
24pi
or approx. 75.4 sq. units?
100
The type of event a Roulette bettor relies on when they are hoping they will win on both of two separately placed chips in a single drop of the ball.
What is "intersection" of two events?
200
Tan theta
What is the right triangle ratio of "Opposite over Adjacent" or
(triangley)/(trianglex)
200
The amount of dollars you will win every four spins on this spinner:
What is $104.
200
Tess has a 90% chance of getting a bull's eye. There is a 40% chance her instructor will be watching when Tess shoots. This is the probability the instructor will see Tess hit the bull's eye.
What is P(Sees the bull's eye): 0.36
200
The type of event a Roulette bettor relies on when they are just hoping they will win on one or the other of two separately placed chips in a single drop of the ball.
What is a "union" of two events?
300
The largest of these three expressions:
tanangleCEB; tanangleBED; tanangleAED
What is tanangleAED
300
The probability of losing $1 on this spinner:
What is 0.125 or $1 every eight games.
300
The height of a tree which Tamara measures with her clinometer at an eye level of 5'6" as being 62 degrees to the top of the tree when she is 30' away. (to the nearest whole foot)
What is 63 feet?
300
The type of event when finding the probability that something will not happen.
What is the "complement" of an event?
400
The angle the line y=9/7x+2 makes with the x-axis (to the nearest hundredth of a degree).
What is approximately 52.13-degrees?
400
The probability that both spinners land on purple simultaneously.
What is
1/12
400
Artemis Fowl's private jet approaches the airport. Its horizontal distance from the airport is 22 miles when its altitude is 2.2 miles. To the nearest degree, this is the angle of descent of Artemis' plane.
What is 6-degrees?
400
The symbolic representation ofP(Event A) not happening.
What is
1-P(Event A)
500
The area of this triangle to the nearest whole unit.
What is 104 sq. units?
500
Knowing that the payout when winning a $1 bet placed on the 1st 12 numbers (1st dozen) of the roulette wheel is 2:1, what is the expected value of this bet?
What is -$0.053?
Fyi - P(1st 12) x (Value of X for 1st 12) + P(Not 1st 12) x (Value of X for Not 1st 12) = 12/38 x 2 + 26/38 x (-1) = -0.053
500
California Lotto has a new "big wheel" game consisting of two wheels (spinners). Contestants spin both wheel #1 and #2. The dollar amount on wheel #1 is multiplied by the number on wheel #2 and the contestant wins that much money. What is the smallest possible win.
What is $500?
500
The winning spin will end up with purple on both spinners. This would be a union of events, TRUE or FALSE, explain.
What is FALSE? It would be an intersection of events.