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

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Verified Answer :

Hermosa0 Hermosa0 · Answer 1 · 2016-09-30T13:56:39-04:00

I think the answer to this is c

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Anonymous Anonymous · Answer 2 · 2019-03-26T02:00:48-04:00

Answer:

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)

\(=\frac{1}{3}\)

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)

\(\frac{1}{3}\times\frac{1}{3}=\frac{1}{9}\)

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

\(\frac{2}{3}*\frac{1}{3}+\frac{1}{3}*\frac{2}{3}=\frac{4}{9}\)

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

\(\frac{2}{3}\times\frac{2}{3}=\frac{4}{9}\)

Option A:

X P

0 \(=\frac{1}{9}\)

1 \(=\frac{4}{9}\)

2 \(=\frac{4}{9}\)