select the correct answer. an experiment consists of rolling a six - sided die to select a number between 1…

select the correct answer. an experiment consists of rolling a six - sided die to select a number between 1 and 6 and drawing a card at random from a set of 10 cards numbered 1, 2, 3, ... 10. which event definition corresponds to exactly one outcome of the experiment? a. both numbers are 5s. b. neither number is a 5. c. the sum of the numbers is 3. d. one of the numbers is a 3.

select the correct answer. an experiment consists of rolling a six - sided die to select a number between 1 and 6 and drawing a card at random from a set of 10 cards numbered 1, 2, 3, ... 10. which event definition corresponds to exactly one outcome of the experiment? a. both numbers are 5s. b. neither number is a 5. c. the sum of the numbers is 3. d. one of the numbers is a 3.

Answer

Explanation:

Step1: Understand the experiment

The experiment has two - part: rolling a six - sided die (outcomes 1 - 6) and drawing a card from 10 numbered cards (outcomes 1 - 10). An outcome of the experiment is a pair (die result, card result).

Step2: Analyze each option

  • Option A: "Both numbers are 5s" means the die shows 5 and the card shows 5. This is a single, well - defined outcome of the combined experiment.
  • Option B: "Neither number is a 5" represents multiple outcomes. For example, (1,1), (1,2), etc.
  • Option C: "The sum of the numbers is 3". The possible pairs are (1,2) and (2,1), so multiple outcomes.
  • Option D: "One of the numbers is a 3" represents multiple outcomes like (3,1), (1,3), (3,2), etc.

Answer:

A. Both numbers are 5s.