Question

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.

Explanation:

Step1: Analyze each option

An outcome of the experiment is a pair (number on die, number on card).

Step2: Evaluate option A

The event "Both numbers are 5s" means the die shows 5 and the card shows 5. This is a single - specific pair, so it corresponds to one outcome.

Step3: Evaluate option B

The event "Neither number is a 5" has multiple possible pairs. For example, (1,1), (1,2), etc., so it is not a single outcome.

Step4: Evaluate option C

The event "The sum of the numbers is 3". The possible pairs are (1,2) and (2,1), so it is not a single outcome.

Step5: Evaluate option D

The event "One of the numbers is a 3" has multiple possible pairs like (3,1), (1,3), (3,2), etc., so it is not a single outcome.

Answer:

A. Both numbers are 5s.