Which of the following is not a principle of probability? choose the correct answer below. a. all events are equally likely in any probability procedure. b. the probability of an event that is certain to occur is 1. c. the probability of an impossible event is 0. d. the probability of any event is between 0 and 1 inclusive.

The correct option is A.

Step-by-step explanation:

The formula of probability is

Where, a≤b, a is total favorable outcomes and b is total possible outcomes.

If an event is certain to occur, then a=b and the probability of an event that is certain to occur is

If an event is impossible, then a=0 and the probability of an impossible event is

Since total favorable outcomes a and total possible outcomes b can not be negative, a is always less than of equal to b. So,

Therefore the probability of any event is between 0 and 1 inclusive.

All events are not equally likely in any probability procedure. So, the statement "All events are equally likely in any probability procedure" is not true.

Therefore the correct option is A.

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3

step-by-step explanation: