You have an equally likely chance of choosing any number from 1 to 15. What is the probability that you choose a number greater than or equal to 6?
well, there are 10 numbers that work, so P(n≥6) = 10/15
Teacher
To find the probability of choosing a number greater than or equal to 6, we need to determine the favorable outcomes (numbers greater than or equal to 6) and the total number of possible outcomes.
Step 1: Determine the favorable outcomes:
The numbers greater than or equal to 6 are 6, 7, 8, 9, 10, 11, 12, 13, 14, and 15. So, there are 10 favorable outcomes.
Step 2: Determine the total number of possible outcomes:
The total number of possible outcomes is given as choosing any number from 1 to 15, which is 15.
Step 3: Calculate the probability:
Probability = (Number of favorable outcomes) / (Total number of possible outcomes)
Probability = 10 / 15
Simplifying the fraction:
Probability = 2 / 3
So, the probability of choosing a number greater than or equal to 6 is 2/3.
To find the probability of choosing a number greater than or equal to 6 from the given set of numbers (1 to 15), we first need to determine the total number of possible outcomes, and then calculate the number of favorable outcomes.
Total number of outcomes: There are 15 numbers from 1 to 15, so the total number of outcomes is 15.
Number of favorable outcomes: From the given set, the numbers greater than or equal to 6 are 6, 7, 8, 9, 10, 11, 12, 13, 14, and 15. Hence, there are 10 favorable outcomes.
Now we can calculate the probability using the formula:
Probability = Number of favorable outcomes / Total number of outcomes
Probability = 10 / 15
Simplifying further, it can be expressed as a fraction: 2/3.
Therefore, the probability of choosing a number greater than or equal to 6 is 2/3 or approximately 0.67.