You spin a spinner that has 8 equal sections numbered 1 to 8.Find p(perfect square or odd).
To find the probability of spinning a perfect square or an odd number on the spinner, we need to determine the number of favorable outcomes and the total number of possible outcomes.
Favorable outcomes:
The perfect squares from 1 to 8 are 1, 4. There are two perfect squares in total.
The odd numbers from 1 to 8 are 1, 3, 5, 7. There are four odd numbers in total.
Total outcomes:
The spinner has 8 equal sections, so there are a total of 8 possible outcomes.
Now, we can calculate the probability (P) using the formula:
P(favorable outcomes) / P(total outcomes)
P(perfect square or odd) = (Number of favorable outcomes) / (Total number of possible outcomes)
= (2 + 4) / 8
= 6 / 8
= 3 / 4
Therefore, the probability of spinning a perfect square or an odd number is 3/4 or 75%.
To find the probability of landing on a perfect square or an odd number when spinning the spinner with 8 equal sections, follow these steps:
Step 1: Identify the possible outcomes.
The spinner has 8 equal sections numbered 1 to 8. The possible outcomes are the numbers on the spinner: {1, 2, 3, 4, 5, 6, 7, 8}.
Step 2: Determine the favorable outcomes.
We want to find the probability of landing on a perfect square or an odd number. The perfect squares in the range of 1 to 8 are {1, 4}. The odd numbers in the range of 1 to 8 are {1, 3, 5, 7}. Combining these sets, the favorable outcomes are {1, 3, 4, 5, 7}.
Step 3: Calculate the probability.
The probability is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.
Number of favorable outcomes = 5 (the set {1, 3, 4, 5, 7} contains 5 elements).
Number of possible outcomes = 8 (the set {1, 2, 3, 4, 5, 6, 7, 8} contains 8 elements).
So, the probability of landing on a perfect square or an odd number is given by:
P(perfect square or odd) = Number of favorable outcomes / Number of possible outcomes
= 5 / 8
Therefore, the probability of spinning a perfect square or an odd number on this spinner is 5/8.