Probability Lesson 0

Hi all,
Due to a lack of a better method of training on Probability and Statistics, I am trying out a new idea where you can learn in bits and pieces. The learning has to be self motivated.Most of you would have read basics of Probability and Statistics and might not be comfortable dealing with it. Lets start with basics, once we are all warmed up we can move faster in our learning process. This will be a combination of theory and problems but will be more in a Q&A mode.
To start off Lesson 0 which most know but find it difficult to use
Probability = Number of favorable outcomes/ Total Number of Outcomes.
This is the most basic definition and will apply to most.
Example 1: If I throw a die whats the probability of getting a 3
Answer: Probability(getting a 3) = Number of ways to get 3/ Total Number of Outcomes possible = 1 /6
Try this on your own:(Don't discuss with anyone and Don't google)
If I throw two five faced dice(Numbers on five faces are 1,3,5,7,9) what is the probability of getting a number less than 16?
I will post the answer with the next lesson but suggest all of you try this

Odds:
Lots of questions tutors encounter these phrases you get either Odds in favor or odds against.
Lets look at the example I gave above. What are the odds in favor of getting a 3 when a 6 faced die is thrown?
Odds in favor (Odds for) of throwing a 3 is 1 to 5
Odds in favor can be defined as
= Number of Favorable Outcomes to Number of Unfavorable outcomes
in this case it is easy to see it is 1 to 5 or 1:5

Odds against is the exact opposite of the above
Odds against(odds not for) is defined as
= Number of Unfavorable Outcomes to Number of favorable outcomes

So , Odds against throwing a 3 is 5 to 1 or 5:1

So keep your answer ready for this question:
If the Odds for winning a race for a Horse Named Wordpress is 3 to 4 what is the probability of Wordpress winning?
P.S: If the question has just the word Odds it means Odds Against
Answers will be posted with Lesson 1 on December 25th or 26th based on the number of views this Post gets. Please let all tutors know about this by word of mouth / word of chat or however.Please post feedback on what you like for lessons coming up.