Question

watch the section lecture video and answer the question listed below. note: the counter in the lower right corner of the screen displays the example. in example 2, what is the probability of getting a 7? explain this result. choose the correct answer below. a. the probability of getting a 7 is $\frac{1}{6}$ because 7 can occur only once. b. the probability of getting a 7 is 1 because 7 occurs always. c. the probability of getting a 7 is $\frac{1}{3}$ because 7 is an odd number. d. the probability of getting a 7 is 0 because it is impossible to get a 7.

Explanation:

Step1: Recall probability formula

Probability $P(E)=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$.

Step2: Analyze possible outcomes

Assuming a standard die - rolling or similar basic probability experiment where the possible outcomes are single - digit non - negative integers (e.g., rolling a standard six - sided die with values 1 - 6), 7 is not among the possible outcomes. So the number of favorable outcomes for getting a 7 is 0.

Step3: Calculate probability

Let the total number of possible outcomes be $n$. Since the number of favorable outcomes for getting a 7 is 0, $P(\text{getting a }7)=\frac{0}{n}=0$.

Answer:

D. The probability of getting a 7 is 0 because it is impossible to get a 7.