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6 March, 08:01

A spinner has sections labeled W W, X X, Y Y, and Z Z. The faces of a number cube are labeled 1, 2, 3, 4, 5, and 6. What is the total number of possible outcomes of 1 spin of the arrow on the spinner and 1 roll of the number cube?

f. 10

g. 6

h. 48

j. 24

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Answers (1)
  1. 6 March, 10:47
    0
    Total number of sections on the spinner = 4

    So there can be 4 outcomes on 1 spin of the arrow on the arrow.

    Number of faces of the cube = 6

    So there can be 6 outcomes on rolling of the dice.

    For each outcome of the spinner, there can be 6 outcomes of rolling a dice. So for 4 outcomes of the spinner, there will be 6 x 4 = 24 outcomes in total.

    For example, WW and either of {1,2,3,4,5,6} can occur. This makes folloiwng 6 outcomes: WW1, WW2, WW3, WW4, WW5 and WW6

    Same goes for XX (6 outcomes), YY (6 outcomes) and ZZ (6 outcomes)

    Thus in total there will be 24 outcomes.

    So option j gives the correct answer
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