What is P(A), the probability of event A? O P(A) = 0.36 O P(A) = 0.76 O P(A) = 0.22 O P(A) = 0.32 Let event C be the event that the game ends in a tie. What is P(C), the probability of event C? O P(C) = 0.32 O P(C) = 0.28 O P(C) = 0.50 O P(C) = 0.86 Define event B as the event that roommate B wins the game and not have to wash dishes is the probability roommate B wins the game? O P(B) = 0.39 O P(B) = 0.67 O P(B) = 0.36 O P(B) = 0.43
Family of Curves
A family of curves is a group of curves that are each described by a parametrization in which one or more variables are parameters. In general, the parameters have more complexity on the assembly of the curve than an ordinary linear transformation. These families appear commonly in the solution of differential equations. When a constant of integration is added, it is normally modified algebraically until it no longer replicates a plain linear transformation. The order of a differential equation depends on how many uncertain variables appear in the corresponding curve. The order of the differential equation acquired is two if two unknown variables exist in an equation belonging to this family.
XZ Plane
In order to understand XZ plane, it's helpful to understand two-dimensional and three-dimensional spaces. To plot a point on a plane, two numbers are needed, and these two numbers in the plane can be represented as an ordered pair (a,b) where a and b are real numbers and a is the horizontal coordinate and b is the vertical coordinate. This type of plane is called two-dimensional and it contains two perpendicular axes, the horizontal axis, and the vertical axis.
Euclidean Geometry
Geometry is the branch of mathematics that deals with flat surfaces like lines, angles, points, two-dimensional figures, etc. In Euclidean geometry, one studies the geometrical shapes that rely on different theorems and axioms. This (pure mathematics) geometry was introduced by the Greek mathematician Euclid, and that is why it is called Euclidean geometry. Euclid explained this in his book named 'elements'. Euclid's method in Euclidean geometry involves handling a small group of innately captivate axioms and incorporating many of these other propositions. The elements written by Euclid are the fundamentals for the study of geometry from a modern mathematical perspective. Elements comprise Euclidean theories, postulates, axioms, construction, and mathematical proofs of propositions.
Lines and Angles
In a two-dimensional plane, a line is simply a figure that joins two points. Usually, lines are used for presenting objects that are straight in shape and have minimal depth or width.
six11
![A common way for two people to settle a frivolous dispute is to play a game of rock-paper-scissors. In this game, each person simultaneously displays
a hand signal to indicate a rock, a piece of paper, or a pair of scissors. Rock beats scissors, scissors beats paper, and paper beats rock. If both players
select the same hand signal, the game results in a tie.
Two roommates, roommate A and roommate B, are expecting company and are arguing over who should have to wash the dishes before the company
arrives. Roommate A suggests a game of rock-paper-scissors to settle the dispute.
Scissors
beats paper
Paper
beats rock
Rock
beats scissors
Consider the game of rock-paper-scissors to be an experiment. In the long run, roommate A chooses rock 21% of the time, and roommate B chooses
rock 61% of the time; roommate A selects paper 39% of the time, and roommate B selects paper 21% of the time; roommate A chooses scissors
40% of the time, and roommate B chooses scissors 18% of the time. (These choices are made randomly and independently of each other.)
The probabilities were assigned using the relative frequency approach
classical approach
Define event A as the event that roommat
bes not have to wash the dishes.
subjective approach
What is P(A), the probability of event A?
relative frequency approach](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Feec98ffb-2ae1-4e4b-9ab5-83bd1e7887bf%2F6c9dcf55-eeff-4915-8042-b5310d8cf595%2F9ib0iko_processed.jpeg&w=3840&q=75)
![What is P(A), the probability of event A?
O P(A) = 0.36
O P(A) = 0.76
O P(A) = 0.22
O P(A) = 0.32
Let event C be the event that the game ends in a tie.
What is P(C), the probability of event C?
O P(C) = 0.32
O P(C) = 0.28
O P(C) = 0.50
O P(C) = 0.86
Define event B as the event that roommate B wins the game and thus does not have to wash the dishes. What is the probability that roommate B wins
the game?
O P(B) = 0.39
O P(B) = 0.67
O P(B) = 0.36
O P(B) = 0.43](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Feec98ffb-2ae1-4e4b-9ab5-83bd1e7887bf%2F6c9dcf55-eeff-4915-8042-b5310d8cf595%2Fio6zy2qb_processed.jpeg&w=3840&q=75)
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