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Which table shows the sample space for spinning the spinner twice?

spinner with 3 equal sections colored yellow, blue, and red
Yellow Red Blue
Yellow Yellow, Yellow Yellow, Red Yellow, Blue
Red Red, Yellow Red, Red Red, Blue
Blue Blue, Yellow Blue, Red Blue, Blue
Yellow Red Blue
Yellow Yellow Yellow Yellow
Red Red Red Red
Blue Blue Blue Blue
Blue Yellow Red
Blue Blue, Blue Blue, Yellow Blue, Red
Blue Blue, Blue Blue, Yellow Blue, Red
Blue Yellow Red
Yellow Yellow, Blue Yellow, Yellow Blue, Red
Red Red, Blue Yellow, Red Red, Red
Blue Blue, Blue Yellow, Blue Yellow, Blue

1 answer

To determine the correct sample space for spinning a spinner with 3 equal sections (yellow, blue, and red) twice, we first need to identify all possible outcomes from the two spins.

When spinning the spinner twice, we have the following possible outcomes for each spin:

  1. First spin: Yellow (Y), Red (R), Blue (B)
  2. Second spin: Yellow (Y), Red (R), Blue (B)

The complete sample space for two spins can be represented as a set of ordered pairs (first spin result, second spin result). Therefore, the sample space (S) can be written as follows:

S = {(Y, Y), (Y, R), (Y, B), (R, Y), (R, R), (R, B), (B, Y), (B, R), (B, B)}

This means there are 9 total outcomes in the sample space.

From the options given in your question, none accurately represented the full sample space based on the format above. However, ensure you look for a table or a representation showing the combinations of outcomes like the 9 pairs listed above for accurate identification of the correct sample space.