What is the probability of spinning an evenly divided spinner numbered 1-8 and getting a composite number on one spin and getting an odd number on a second spin.
If a letter is chosen at random from the word PRESEVERANCE,what is the probability that the letter choosen is E?
To calculate the probability of spinning an evenly divided spinner numbered 1-8 and getting a composite number on one spin and an odd number on a second spin, we need to determine the number of favorable outcomes and the total number of possible outcomes.
First, let's find the number of composite numbers on the spinner. A composite number is any number greater than 1 that is divisible by more than just 1 and itself. In this case, the composite numbers on the spinner are 4, 6, and 8. So, there are three favorable outcomes for getting a composite number on the first spin.
Next, let's find the number of odd numbers on the spinner. Since we have an evenly divided spinner with numbers 1-8, half of the numbers will be odd. The odd numbers on the spinner are 1, 3, 5, and 7. So, there are four favorable outcomes for getting an odd number on the second spin.
Now, we need to determine the total number of possible outcomes. Since the spinner has 8 equally divided sections, there are 8 possible outcomes for each spin.
To calculate the probability, we divide the number of favorable outcomes by the total number of possible outcomes:
Probability = (Number of favorable outcomes) / (Total number of possible outcomes)
In this case, the number of favorable outcomes for getting a composite number on the first spin is 3, and the number of favorable outcomes for getting an odd number on the second spin is 4. The total number of possible outcomes is 8.
Probability of getting a composite number on the first spin and an odd number on the second spin = (3/8) * (4/8)
To simplify, we can express this as a fractional probability:
Probability = 3/8 * 4/8 = 12/64
And as a decimal probability:
Probability = 12/64 ≈ 0.1875
Therefore, the probability of spinning an evenly divided spinner numbered 1-8 and getting a composite number on one spin and an odd number on a second spin is approximately 0.1875 or 18.75%.
Answer is 3/16
Between 1 to 8:
C: {4,6,8} composite.
So P(C)=3/8
O: {1,3,5,7} odd.
P(O)=4/8
P(C,O)=P(C)*P(O)=3/16