A spinner is divided equally into six parts with the letters F,G,E,I,Q,O. If you spin the spinner twice, what is P(vowel, then Q)?
A. 1/10****?
B. 1/9
C. 2/9
D. 1/12.
Prob(vowed, then Q)
= (3/6)(1/6)
= 3/36
= 1/12
How did you possible get 1/10 ?
lol way off
To solve this problem, we need to determine the probability of spinning a vowel first and then spinning a Q on the second spin.
Step 1: Determine the probabilities of spinning a vowel and Q on the first spin.
- There are 6 sections on the spinner, of which 2 are vowels (E and O) and 1 is Q.
- The probability of spinning a vowel on the first spin is 2/6 or 1/3.
- The probability of spinning Q on the first spin is 1/6.
Step 2: Determine the probability of spinning a Q on the second spin, given that a vowel was spun first.
- After the first spin, there are 5 sections remaining on the spinner.
- There is only 1 section with Q remaining.
- Therefore, the probability of spinning a Q on the second spin, given that a vowel was spun first, is 1/5.
Step 3: Multiply the probabilities from Steps 1 and 2 to obtain the overall probability.
- The probability of spinning a vowel and then a Q is (1/3) * (1/5) = 1/15.
Therefore, none of the given answer choices (A, B, C, D) are correct. The correct answer is not listed.
To find the probability of getting a vowel (F, E, or O) on the first spin and then Q on the second spin, we need to determine the total number of possible outcomes and the favorable outcomes.
Total number of possible outcomes:
Since there are 6 equally divided parts on the spinner, the total number of possible outcomes on the first spin is 6.
Favorable outcomes (vowels on the first spin and Q on the second spin):
Out of the 6 possible outcomes on the first spin, there are 3 favorable outcomes to get a vowel (F, E, or O). After getting a vowel on the first spin, there is only 1 favorable outcome to get Q on the second spin.
So, the total number of favorable outcomes is 3 * 1 = 3.
Now we can calculate the probability by dividing the number of favorable outcomes by the total number of possible outcomes:
Probability = Favorable Outcomes / Total Outcomes
Probability = 3 / 6
Probability = 1/2
Therefore, the probability of getting a vowel on the first spin and then Q on the second spin is 1/2.
None of the given options (A, B, C, or D) match the correct answer of 1/2.