A spinner is divided into 8 equal sections. Each section is numbered 1-8. Find each probability for one spin.
To find the probability for one spin on a spinner divided into 8 equal sections, we need to determine the number of favorable outcomes (the desired numbers) and divide it by the total number of possible outcomes.
Total number of possible outcomes: 8
Now, let's find the probability for each of the following events:
1. The spinner lands on an odd number (1, 3, 5, or 7).
Number of favorable outcomes: 4 (1, 3, 5, 7)
Probability = Number of favorable outcomes / Total number of possible outcomes
Probability = 4/8 = 1/2 = 0.5
2. The spinner lands on an even number (2, 4, 6, or 8).
Number of favorable outcomes: 4 (2, 4, 6, 8)
Probability = Number of favorable outcomes / Total number of possible outcomes
Probability = 4/8 = 1/2 = 0.5
3. The spinner lands on a prime number.
Number of favorable outcomes: 4 (2, 3, 5, 7)
Probability = Number of favorable outcomes / Total number of possible outcomes
Probability = 4/8 = 1/2 = 0.5
4. The spinner lands on a multiple of 3.
Number of favorable outcomes: 2 (3, 6)
Probability = Number of favorable outcomes / Total number of possible outcomes
Probability = 2/8 = 1/4 = 0.25
So, the probabilities for each event are:
1. Probability of landing on an odd number = 0.5
2. Probability of landing on an even number = 0.5
3. Probability of landing on a prime number = 0.5
4. Probability of landing on a multiple of 3 = 0.25
To find the probability for one spin of the spinner, we need to determine the total number of possible outcomes and the number of favorable outcomes.
1. Total number of outcomes: Since the spinner is divided into 8 equal sections, there are 8 possible outcomes.
2. Number of favorable outcomes: The problem does not specify any specific numbers or events, so we assume that each number has an equal chance of being landed on. Thus, there is only one favorable outcome for each number from 1 to 8.
Now, we can calculate the probability for one spin:
Probability = Number of favorable outcomes / Total number of outcomes
Probability of landing on 1 = 1/8
Probability of landing on 2 = 1/8
Probability of landing on 3 = 1/8
Probability of landing on 4 = 1/8
Probability of landing on 5 = 1/8
Probability of landing on 6 = 1/8
Probability of landing on 7 = 1/8
Probability of landing on 8 = 1/8
Therefore, the probability for each number on the spinner is 1/8.