learning about the differences between probability and odds is a rather confusing task. we learning about how probability is the number of the possibilities wanted to be known over the total number of possibilities. spending so much time throughout schooling looking for the probability for or against an outcome has put quite a damper on what is the odds in favor or against a certain outcome.
Definitions required:
Probability: Is the amount of successes divided by the total.
BASIC PROBABILITY
Odds in Favor: Is the amount of successes divided by the amount of failures.
Odds Against: Is the amount of failures divided by the amount of successes.
Odds in Favor: Is the amount of successes divided by the amount of failures.
Odds Against: Is the amount of failures divided by the amount of successes.
Examples:
What is the Probability of drawing a red marble from the following bag?
5 red, 7 green, 3 blue, 2 Green, and 8 purple
so its (number of RED marbles/ Total Number of Marbles)
you need the total amount of marbles added up
5+7+3+2+8= 25 marbles
then the number or RED marbles=5
Answer 5/25 or percentage 25% chance of getting a red marble
Odds in Favor:
what are the odds in favor of drawing a Green Marble from previous bag of marbles?
so (How many GREEN marbles: how many marbles minus Green Marbles)
2 Green Marbles : 23 other Marbles
2:23 odds in favor of drawing a green
odds against green is reversed
(Number of marbles minus green: number of green marbles)
23:2
what are the odds AGAINST a purple marble?
(number of marbles minus purple marbles: Number of Purple Marbles)
17: 8
it can be quite a challenge, but always read the question carefully for what is being asked for and check your math
