a spinner is numbered from 1-9 with each number equally likely to occur. what is the probability of obtaining a number less than 5 or greater than 6 with a single spin
so, in other words,any number except 5 or 6.
How many of those are there?
To calculate the probability of obtaining a number less than 5 or greater than 6, we first need to determine how many outcomes meet this condition and then divide that by the total number of possible outcomes.
The spinner is numbered from 1 to 9, so there are 9 possible outcomes in total.
Let's identify the outcomes that meet the condition of being less than 5 or greater than 6:
Less than 5: The numbers that are less than 5 are 1, 2, 3, and 4. So, there are 4 outcomes.
Greater than 6: The numbers that are greater than 6 are 7, 8, and 9. So, there are 3 outcomes.
Now, we need to determine the total number of outcomes that meet the condition, which is the count of outcomes in the "less than 5" and "greater than 6" sets combined. In this case, it is 4 + 3 = 7 outcomes.
Lastly, we divide the total number of outcomes that meet the condition by the total number of possible outcomes:
Probability = Number of outcomes that meet the condition / Total number of possible outcomes
Probability = 7 / 9
Therefore, the probability of obtaining a number less than 5 or greater than 6 with a single spin of the spinner is 7/9.