A hat contains 5 balls. The balls are numbered 1, 3, 4, 5, and 7. One ball is randomly selected and not replaced, and then a second ball is selected. The numbers on the 2 balls are added together. A fair decision is to be made about which one of two candy bars to purchase, using the sum of the numbers on the balls. The candy bar options are Choco Delight or Go Nuts. Which description accurately explains how a fair decision can be made in this situation? If the sum is a multiple of 4, purchase Choco Delight. If the sum is not a multiple of 4, purchase Go Nuts. If the sum of the balls is even, purchase Choco Delight. If the sum is odd, purchase Go Nuts. If the sum of the balls is a factor of 40, purchase Choco Delight. If the sum is not a factor of 40, purchase Go Nuts. If the sum of the balls is less than 9, purchase Choco Delight. If the sum is 9 or greater, purchase Go Nuts.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 40SE: A family consisting of 2 parents and 3 children is to pose for a picture with 2 family members in...
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A hat contains 5 balls. The balls are numbered 1, 3, 4, 5, and 7. One ball is randomly selected and not replaced, and then a second ball is selected. The numbers on the 2 balls are added together.

A fair decision is to be made about which one of two candy bars to purchase, using the sum of the numbers on the balls.

The candy bar options are Choco Delight or Go Nuts.

Which description accurately explains how a fair decision can be made in this situation?

  • If the sum is a multiple of 4, purchase Choco Delight. If the sum is not a multiple of 4, purchase Go Nuts.
  • If the sum of the balls is even, purchase Choco Delight. If the sum is odd, purchase Go Nuts.
  • If the sum of the balls is a factor of 40, purchase Choco Delight. If the sum is not a factor of 40, purchase Go Nuts.
  • If the sum of the balls is less than 9, purchase Choco Delight. If the sum is 9 or greater, purchase Go Nuts.
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