The probability of the spinner landing on an even number or a multiple of 3 is ________.
The probability of the spinner landing on an odd number or a number between 4 and 15 (both numbers excluded) is __________.
How many numbers on the spinner ??
To calculate probabilities, we need to find the favorable outcomes and divide them by the total number of possible outcomes.
In the first question, we need to determine the probability of the spinner landing on an even number or a multiple of 3.
Step 1: Counting the favorable outcomes
- Even numbers: 2, 4, 6
- Multiples of 3: 3, 6
Step 2: Counting the total number of possible outcomes
- Since we don't know the details of the spinner, we assume it has a finite number of equal-sized sectors. Let's say it has 8 sectors.
Step 3: Calculating the probability
- The probability of the spinner landing on an even number or a multiple of 3 is the sum of the favorable outcomes divided by the total number of outcomes.
- Probability = (favorable outcomes)/(total number of outcomes)
- Probability = (5)/(8)
- Probability = 5/8
So, the probability of the spinner landing on an even number or a multiple of 3 is 5/8.
Now, let's move on to the second question: the probability of the spinner landing on an odd number or a number between 4 and 15 (both numbers excluded).
Step 1: Counting the favorable outcomes
- Odd numbers between 4 and 15 (both excluded): 5, 7, 9, 11, 13
- Total number of outcomes between 4 and 15 (both excluded): 10 (from 5 to 14)
Step 2: Counting the total number of possible outcomes
- Since we don't know the details of the spinner, assume it has a finite number of equal-sized sectors. Let's say it has 20 sectors.
Step 3: Calculating the probability
- The probability of the spinner landing on an odd number or a number between 4 and 15 (both numbers excluded) is the sum of the favorable outcomes divided by the total number of outcomes.
- Probability = (favorable outcomes)/(total number of outcomes)
- Probability = (6)/(20)
- Probability = 3/10
So, the probability of the spinner landing on an odd number or a number between 4 and 15 (both numbers excluded) is 3/10.
To find the probability of the spinner landing on an even number or a multiple of 3, we need to determine the number of favorable outcomes and divide it by the total number of possible outcomes.
Step 1: Determine the favorable outcomes.
For the spinner to land on an even number, the possible outcomes are 2, 4, and 6.
For the spinner to land on a multiple of 3, the possible outcomes are 3 and 6.
Therefore, the favorable outcomes are 2, 3, 4, and 6.
Step 2: Determine the total number of possible outcomes.
A spinner usually has 6 possible outcomes, labeled 1 to 6.
Therefore, the total number of possible outcomes is 6.
Step 3: Calculate the probability.
The probability is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.
Probability = Number of favorable outcomes / Total number of possible outcomes
Probability = 4 / 6 = 2 / 3
So, the probability of the spinner landing on an even number or a multiple of 3 is 2/3.
Now, let's move on to the second part of the question.
To find the probability of the spinner landing on an odd number or a number between 4 and 15 (both numbers excluded), we'll follow a similar approach.
Step 1: Determine the favorable outcomes.
For the spinner to land on an odd number, the possible outcomes are 1, 3, and 5.
For the spinner to land on a number between 4 and 15 (both numbers excluded), the possible outcomes are 5, 6, 7, 8, 9, 10, 11, 12, and 13.
Therefore, the favorable outcomes are 1, 3, 5, 6, 7, 8, 9, 10, 11, 12, and 13.
Step 2: Determine the total number of possible outcomes.
Since the spinner has 6 possible outcomes, labeled 1 to 6, the total number of possible outcomes is 6.
Step 3: Calculate the probability.
Similar to the previous step, we'll use the formula:
Probability = Number of favorable outcomes / Total number of possible outcomes
Probability = 11 / 6
So, the probability of the spinner landing on an odd number or a number between 4 and 15 is 11/6.