Back to 7.5 Basic Concepts of Probability

7.5 Exercise 11

Avg difficulty 2.5

Classify each of the following probabilities as theoretical, empirical, or subjective.

  1. An eccentric billionaire is testing a brand new rocket system. He says there is a 15% chance of failure.
  2. With 4 seconds to go in a close basketball playoff game, the home team need 3 points to tie up the game and send it to overtime. A TV commentator says that team captain should take the final 3-point shot, because he has a 38% chance of making it (greater than every other player on the team).
  3. Felix is losing his Yahtzee game against his sister. He has one more chance to roll 2 dice; he’ll win the game if they both come up 4. The probability of this is about 2.8%.

OpenStax Contemporary Mathematics, 7.5 Basic Concepts of Probability, exercise 11

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Adapted from Contemporary Mathematics © 2023 Rice University. Licensed under CC BY 4.0. Source: Contemporary Mathematics. Imported at revision fa7c1a1.