Question

The spinners above are spun and stopped

randomly. What is the probability that the
difference of the numbers at the tops of
the spinners is 2?

Answer 1

6/25 = 24%

Explanation:

Given spinners with numbers {3, 4, 4, 5, 6} and {2, 3, 3, 4, 5}, you want to know the probability that they will stop with numbers that differ by 2.

Outcomes

There are 5×5 = 25 possible outcomes. Of those, there are 6 that have a difference of 2:

{3, 5}, {3, 5}, {4, 2}, {4, 2}, {5, 3}, {5, 3}

Two of each outcome result from the fact that numbers are repeated on each of the spinners.

So, the probability of a difference of 2 is ...

P(∆=2) = 6/25 = 0.24 = 24%

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