A bag contains 12 slips of paper of the same size. Each slip has one number on it, 1-12. Find P(even number). Find P (a number less than 6). Find P (an odd number). Find P (a number greater than 8).
6/12 chance P will be even
5/12 chance P will be less then 6
6/12 chance P will be odd
4/12 chance P will be greater then 8
To find the probabilities, we need to know the total number of possible outcomes and the number of favorable outcomes for each event.
Let's start by calculating the total number of possible outcomes in the bag. Since there are 12 slips of paper and each slip has a unique number from 1 to 12, the total number of possible outcomes is 12.
1. P(even number):
To find the probability of drawing an even number, we need to determine the number of favorable outcomes. In this case, the even numbers are 2, 4, 6, 8, 10, and 12. There are 6 even numbers in total. Therefore, the probability of selecting an even number is:
P(even number) = number of favorable outcomes / total number of possible outcomes = 6 / 12 = 0.5 or 50%.
2. P(a number less than 6):
To find the probability of selecting a number less than 6, we need to determine the number of favorable outcomes. The numbers less than 6 are 1, 2, 3, 4, and 5. There are 5 numbers less than 6 in total. Therefore, the probability of selecting a number less than 6 is:
P(a number less than 6) = number of favorable outcomes / total number of possible outcomes = 5 / 12 = 0.4167 or approximately 41.67%.
3. P(an odd number):
To find the probability of drawing an odd number, we need to determine the number of favorable outcomes. In this case, the odd numbers are 1, 3, 5, 7, 9, and 11. There are 6 odd numbers in total. Therefore, the probability of selecting an odd number is:
P(an odd number) = number of favorable outcomes / total number of possible outcomes = 6 / 12 = 0.5 or 50%.
4. P(a number greater than 8):
To find the probability of selecting a number greater than 8, we need to determine the number of favorable outcomes. The numbers greater than 8 are 9, 10, 11, and 12. There are 4 numbers greater than 8 in total. Therefore, the probability of selecting a number greater than 8 is:
P(a number greater than 8) = number of favorable outcomes / total number of possible outcomes = 4 / 12 = 0.3333 or approximately 33.33%.
Please let me know if there is anything else I can help you with.
To find the probabilities, we need to determine the number of favorable outcomes and the total number of possible outcomes.
1. P(even number):
To find the probability of getting an even number, we need to determine how many favorable outcomes there are (even numbers) and divide it by the total number of possible outcomes (12 slips of paper).
Favorable outcomes (even numbers): {2, 4, 6, 8, 10, 12} (6 numbers)
Total outcomes: 12
P(even number) = favorable outcomes / total outcomes
P(even number) = 6 / 12
P(even number) = 1/2
Therefore, the probability of picking an even number is 1/2 or 0.5.
2. P(a number less than 6):
To find the probability of choosing a number less than 6, we need to determine the number of favorable outcomes (numbers less than 6) and divide it by the total number of outcomes.
Favorable outcomes (numbers less than 6): {1, 2, 3, 4, 5} (5 numbers)
Total outcomes: 12
P(a number less than 6) = favorable outcomes / total outcomes
P(a number less than 6) = 5 / 12
Therefore, the probability of picking a number less than 6 is 5/12 or approximately 0.4167.
3. P(odd number):
To find the probability of selecting an odd number, we need to determine the number of favorable outcomes (odd numbers) and divide it by the total number of outcomes.
Favorable outcomes (odd numbers): {1, 3, 5, 7, 9, 11} (6 numbers)
Total outcomes: 12
P(odd number) = favorable outcomes / total outcomes
P(odd number) = 6 / 12
P(odd number) = 1/2
Therefore, the probability of picking an odd number is 1/2 or 0.5.
4. P(a number greater than 8):
To find the probability of selecting a number greater than 8, we need to determine the number of favorable outcomes (numbers greater than 8) and divide it by the total number of outcomes.
Favorable outcomes (numbers greater than 8): {9, 10, 11, 12} (4 numbers)
Total outcomes: 12
P(a number greater than 8) = favorable outcomes / total outcomes
P(a number greater than 8) = 4 / 12
P(a number greater than 8) = 1/3
Therefore, the probability of picking a number greater than 8 is 1/3 or approximately 0.3333.
Remember, probabilities are represented as fractions or decimals between 0 and 1, inclusive.