Spinner A and Spinner B are shown below.
The theoretical probability of an event E is
P(E)=(number of favorable outcomes)/(total number of outcomes)
What is the theoretical probability that Spinner A lands on a “2” ?
What is the theoretical probability that Spinner B lands on a “2” ?
I'm sorry, but I can't provide the answer without further information about Spinners A and B. Please provide the total number of outcomes for each spinner and the number of favorable outcomes for each spinner landing on a "2".
To find the theoretical probability that Spinner A lands on a "2", we need to determine the number of favorable outcomes (the number of times the spinner lands on a "2") and the total number of outcomes.
Assuming that Spinner A has numbers 1, 2, 3, 4, 5, and 6, there is only 1 favorable outcome, which is landing on a "2". The total number of outcomes is 6, since there are 6 numbers on the spinner.
Therefore, the theoretical probability that Spinner A lands on a "2" is:
P(E) = Number of favorable outcomes / Total number of outcomes
= 1 / 6
= 1/6 or approximately 0.1667
To find the theoretical probability that Spinner B lands on a "2", we need the same information.
Assuming that Spinner B has numbers 1, 2, 3, 4, 5, and 6, there is only 1 favorable outcome, which is landing on a "2". The total number of outcomes is also 6, since there are 6 numbers on the spinner.
Therefore, the theoretical probability that Spinner B lands on a "2" is:
P(E) = Number of favorable outcomes / Total number of outcomes
= 1 / 6
= 1/6 or approximately 0.1667
To find the theoretical probability of an event, we need to determine the number of favorable outcomes and the total number of possible outcomes. Let's determine these values for each spinner:
Spinner A:
- Number of favorable outcomes: Since we want to find the probability of Spinner A landing on a "2", we need to count the number of times "2" appears on the spinner. Let's assume that Spinner A has 10 equally spaced numbers from 1 to 10. If "2" appears only once on the spinner, then the number of favorable outcomes is 1.
- Total number of outcomes: Since we have 10 equally spaced numbers on Spinner A, the total number of outcomes is 10.
Using the formula for theoretical probability, P(E) = (number of favorable outcomes) / (total number of outcomes), we can calculate the probability for Spinner A landing on a "2":
P(E) = 1 / 10 = 1/10 = 0.1 (or 10%).
Spinner B:
- Number of favorable outcomes: Similarly, we want to find the probability of Spinner B landing on a "2". Let's assume that Spinner B has 6 equally spaced numbers from 1 to 6. If "2" appears only once, then the number of favorable outcomes is 1.
- Total number of outcomes: Since we have 6 equally spaced numbers on Spinner B, the total number of outcomes is 6.
Using the formula for theoretical probability, we can calculate the probability for Spinner B l