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?
x p
0 1919
1 4949
2 4949
x p
0 2323
1 1313
2 1313
x p
0 827827
1 2323
2 127127
x p
0 1313
1 1313
2 1313

The Dial on the Spinner is Spun 2 times in a row.

X= Number of times the dial lands on region A or B.

Variable X can take values =0 , 1, 2

There are three regions.

0=Neither on region A nor on region B

1= Region A

2= Region B

Considering equal probabilities of three regions

→Probability (Neither on region A nor on region B)=Probability (Region A)=Probability(Region B)

When, x=0

Means 2 failure and 0 Success that is 2 times neither on region A nor on region B

Probability (X=0 success)

Probability (X=1 success), one time on region A or B, and one time neither on region A nor on region B

Probability (X=1 success), one time on region A or B, and one time neither on region A nor on region B

Option A:

X                             P

0                  

1                      

2                          

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step-by-step explanation: