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The spinner shown below is spun twice. What is the probability that the sum of the two spins is less than 6? Express your answer as a decimal and round to the nearest thousandths.

The spinner shown below is spun twice. What is the probability that the sum of the-example-1

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The probability that the sum of the two spins is less than 6 is: 0.179

What is the probability of the spinner?

To get the probability that the sum of the two spins is less than 6, we need to look at the possible set of number combinations which are:

{0, 0}, {0,1},{0,2},{1,2},{0,3},{1,3},{2,3},{0,4},{1,4},{2,4},{3,4},{0,5},{1,5},{2,5},{3,5},{4,5},{0,6},{1,6},{2,6},{3,6},{4,6},{5,6},{0,7},{1,7},{2,7},{3,7},{4,7},{5,7},{6,7},{0,8},{1,8},{2,8},{3,8},{4,8},{5,8},{6,8},{7,8},{0,9},{1,9},{2,9},{3,9},{4,9},{5,9},{6,9},{7,9},{8,9},{10,1},{10,2},{10,3},{10,4},{10,5},{10,6}{10,7}{10,8},{10,9},{10,10}

There are a total of 56 possible number combinations for the two spins.

Now, the number of spins that give a sum less than 6 is: 10

Thus:

P(two spins less than 6) = 10/56 = 0.179

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