If you spin a spinner with 6 triangles with the letters f o g q I e what is the P(vowel,then Q)
There are two vowels (o and e) and one Q on the spinner, so the probability of getting a vowel, then a Q is:
P(vowel, then Q) = P(vowel) x P(Q|vowel)
P(vowel) = number of vowels / total number of outcomes
P(vowel) = 2 / 6
P(vowel) = 1/3
P(Q|vowel) = number of Qs after a vowel / total number of outcomes after a vowel
P(Q|vowel) = 1 / 2
Therefore, P(vowel, then Q) = (1/3) x (1/2) = 1/6
The probability of getting a vowel, then a Q is 1/6.
To find the probability of spinning a vowel, then the letter Q on a spinner with 6 triangles labeled f, o, g, q, i, and e, we need to determine the number of possible outcomes and the number of desired outcomes.
Step 1: Determine the number of possible outcomes.
There are 6 triangles on the spinner, so there are 6 possible outcomes.
Step 2: Determine the number of desired outcomes.
We want to first spin a vowel (a, e, or i), and then spin the letter Q. From the given letters, we have 2 vowels (o and i) and 1 letter Q. Therefore, we have 2 possible outcomes for spinning a vowel and 1 possible outcome for spinning Q.
Step 3: Calculate the probability.
Now we can calculate the probability using the formula:
P(vowel, then Q) = (Number of desired outcomes) / (Number of possible outcomes)
P(vowel, then Q) = 2 / 6
Simplifying, we get:
P(vowel, then Q) = 1 / 3
Therefore, the probability of spinning a vowel, then the letter Q on the given spinner is 1/3.