It looks like you have an image with several probability-related questions. I’ll help you analyze them step by step. Let's start with the first few exercises from the image.

1. Write everything you know currently about probability.

   • Probability is the measure of the likelihood that an event will occur. It is represented as a number between 0 and 1, where 0 means that the event will not occur, and 1 means that it will certainly occur. The formula for probability is:

     $P(E) = \frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}}$

2. Give the sample space for each experiment.

   a) Choosing an odd number between 1 and 11 at random:

   • Odd numbers between 1 and 11 are: 1, 3, 5, 7, 9, 11. Therefore, the sample space is:
     $\{1, 3, 5, 7, 9, 11\}$

   b) Choosing a prime number less than 15 at random:

   • Prime numbers less than 15 are: 2, 3, 5, 7, 11, 13. Therefore, the sample space is:
     $\{2, 3, 5, 7, 11, 13\}$

   c) Choosing one candy at random from a small bag containing 5 red, 7 blue, and 2 green candies:

   • Total candies = 5 red + 7 blue + 2 green = 14 candies. The sample space consists of these 14 candies, so the sample space is:
     $\{5 \text{ red}, 7 \text{ blue}, 2 \text{ green}\}$

   d) Choosing 1 letter at random from 5 vowels:

   • The vowels are: A, E, I, O, U. Therefore, the sample space is:
     $\{A, E, I, O, U\}$

   e) Choosing 1 letter at random from the word "divide":

   • The letters in "divide" are: D, I, V, I, D, E. Therefore, the sample space is:
     $\{D, I, V, E\}$

3. What is the probability of choosing a vowel from the English alphabet?

   • The vowels in the English alphabet are: A, E, I, O, U, so there are 5 vowels in total. There are 26 letters in the alphabet, so the probability of choosing a vowel is: $P(\text{vowel}) = \frac{5}{26}$

Would you like to move on to the next questions, or would you like to dive deeper into any of these answers? Feel free to ask!

Here are some related questions you might find useful:

1. What is the probability of drawing a consonant from the alphabet?
2. How does the probability change if the sample space changes in question 2(b)?
3. What is the total probability for multiple independent events?
4. How would you calculate the probability of an event happening more than once in multiple trials?
5. What is conditional probability?

Tip: Always ensure that you know the total number of outcomes in a given sample space before calculating probabilities!