Question

A hat contains four balls. The balls are numbered 2, 4, 4, and 7. One ball is randomly selected and

Answer 1

Answer:

• If the sum is 6, a small cone will be ordered.
• If the sum is 8 or 9, a medium cone will be ordered.
• If the sum is 11, a large cone will be ordered.

Step-by-step explanation:

The table below shows the possible outcomes from drawing two balls. We see the relative frequencies to be ...

  6: 4

  8: 2

  9: 2

  11: 4

To make a fair decision, we want the relative frequencies of the decision possibilities to be the same. If we combine sums 8 and 9 to one category (medium cone, for example), then 6, (8 or 9), and 11 will all have the same relative frequency: 4.

The appropriate "fair decision" choice is ...

  6: small cone

  8 or 9: medium cone

  11: large cone