Question

If a person draws a playing card and checks its suit and then spins a three dash space spinner​, describe the sample space of possible outcomes using C, D, H, S for the card outcomes and 1, 2, 3, for the spinner outcomes.

Answer 1

Answer: There are 12 possible outcomes in the sample space. 

To find all of the possible outcomes, you have to start with the possibilities for the deck of cards. There are 4, clubs, diamonds, hearts and spades (C, D, H, S).

Then, for the spinner, the choices are 1, 2, or 3.

Each of the suits will have each one of the numbers. The 12 different possibilities are listed below.

C1  C2  C3
D1  D2  D3
H1  H2  H3
S1  S2  S3

Answer 2

There are 12 possible outcomes in the sample space.  

There are 4 clubs, 4 diamonds, 4 hearts and 4 spades.

Denote:

Clubs=C

Diamonds =D

Hearts=H

spades=S

To find all of the possible outcomes find the possibilities for the deck of cards.  

Then, for the spinner we have the choices as 1, 2, or 3.

Each of the suits will have each one of the numbers.

So, the 12 different possibilities are as:

{C1  C2  C3, D1  D2  D3, H1  H2  H3, S1  S2  S3}

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