Suppose the dial on the spinner is spun 2 times in a row.

x is the number of times the dial lands on region a or b.

which table represents the probability distribution for the variable x?

Step-by-step explanation:

A, B, and C have the same area.  So P(A) = 1/3 and P(B) = 1/3, which means P(A or B) = 2/3.

P(success) = 2/3 and P(failure) = 1/3.

The probability of 2 failures is:

P = (1/3)² = 1/9

The probability of 2 successes is:

P = (2/3)²= 4/9

The probability of 1 success and 1 failure can be found either with binomial probability, or simply by subtracting the probabilities we found earlier from 1.

P = 1 - 1/9 - 4/9

P = 4/9

So the answer is the one in the bottom left corner.

60

step-by-step explanation:

solution:

the given function is ,

      =

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

sum of the roots = a + b +c= 0+8+10=18=  

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 =  

product of roots = a b c = 0=  

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function is given by entry and exit route of this hall.