Question

a spinner has 3 equal sections: red, white, and blue. John spins the spinner and tosses a coin. Which shows the sample space for spinning the spinner and tossing the coin?

Answer 1

None of the choices on your list depicts the sample space.

Here's what it should look like:

- red, heads
- red, tails
- white, heads
- white, tails
- blue, heads 
- blue, tails

Answer 2

Answer:

Sample Space of spinning a spinner and tossing the coin is { ( R , H ) , ( R , T ) , ( W , H ) , ( W, T ) , ( B , H ) , ( B , T ) }.

Step-by-step explanation:

Given: Spinner has 3 Equal Sections = Red, White, Blue.

           Johns Spins the spinner and Tosses a coin.

To write: Sample Space of the given Experiment.

Sample Space is a set containing all the Possible Outcomes of the experiment.

Possible outcomes of spinning a Spinner = Red , White, Blue

Possible outcomes of tossing a coin = Head and Tail

let R represent getting Red Section in spinner , W represent getting White Section in spinner , B represent getting Blue Section in spinner , H represent getting Head on coin and T represent  getting Tail on coin.

Now, Sample Space of Experiment =

{ ( R , H ) , ( R , T ) , ( W , H ) , ( W, T ) , ( B , H ) , ( B , T ) }

Therefore, Sample Space of spinning a spinner and tossing the coin is { ( R , H ) , ( R , T ) , ( W , H ) , ( W, T ) , ( B , H ) , ( B , T ) }.