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A spinner with 3 equal sectors is shown in the figure. The colors Green, Blue and Red are marked on it. The arrow points to Green. Two cards are shown on the right side. Their colors are Purple and Green. Which table correctly identifies the sample space of spinning the spinner and then selecting a card? Results of the spin Card Color Green Blue Red Purple Green, Purple Blue, Purple Red, Purple Green Green, Green Blue, Green Red, Green Results of the spin Card Color Green Blue Red Purple Green, Purple Blue, Green Red, Green Green Green, Green Blue, Blue Red, Red Results of the spin Card Color Green Blue Red Purple Green, Green Blue, Blue Red, Red Green Green, Purple Blue, Green Red, Green Results of the spin Card Color Green Blue Red Purple Green, Purple Blue, Purple Red, Purple Green Green, Green Blue, Blue Red, Red

User Glen
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2 Answers

4 votes

Hence, second option is the true option. {Result of spin, card color}

{Green, Purple} {Yellow, Purple} {Purple, Purple }

{Green, Green} {Yellow, Green} {Purple, Green}

Step-by-step explanation:

It is given that:

A spinner with 3 equal sectors is shown in the figure. The colors Green, Yellow, and Purple are marked on it.

Two cards are shown on the right side. Their colors are Purple and Green.

The table that identifies the sample space of spinning the spinner and then selecting a card is:

{Result of spin, card color}

{Green, Purple} {Yellow, Purple} {Purple, Purple }

{Green, Green} {Yellow, Green} {Purple, Green}

( Since in rest of the options the red color in the sample space but there is no card or no such color in the spin which is red)

User Jack Spektor
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1 vote

Each color on the wheel can match with each color of the cards:

Wheel has green, blue red

Cards are purple and green:

The combinations could be:

Green purple , green green, blue purple, blue green, red purple, red green

User LJP
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7.0k points