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swerdna
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With three 50/50 odds choices, what are the odds of getting any 2 correct?
swerdna said:With three 50/50 odds choices, what are the odds of getting any 2 correct?
I'm far too old for it to be homework. Each choice is independant. If a person was guessing the colour of randomly presented unseen playing cards, what are the chaces of guessing any two of the thee correctly. I think it must be less than 1 in 4.berkeman said:What are your thoughts? It also depends on whether each choice is independent of the previous choices (like coin flips are). This is a bit too much like homework/coursework, so I'm moving it to Homework Help.
swerdna said:I'm far too old for it to be homework. Each choice is independant. If a person was guessing the colour of randomly presented unseen playing cards, what are the chaces of guessing any two of the thee correctly. I think it must be less than 1 in 4.
1st 2nd 3rd Total
0 0 0 0
0 0 1 1
0 1 0 1
0 1 1 2
1 0 0 1
1 0 1 2
1 1 0 2
1 1 1 3
I have it - Thanksberkeman said:Hey, I'm pretty old as well, and do lots of homework!
The key is to think of it as a decision tree. You can write it out like this, with a correct pick = 1, and a wrong pick = 0:
Code:1st 2nd 3rd Total 0 0 0 0 0 0 1 1 0 1 0 1 0 1 1 2 1 0 0 1 1 0 1 2 1 1 0 2 1 1 1 3
There are 8 possible outcomes. How many of them result in getting 2 right?
Can you see how you would extend this to, say, a 60/40 chance of picking correctly?
The term "Odds of Getting 2 Out of 3 Correct" refers to the probability of correctly guessing or predicting two out of three possible outcomes in a given situation or experiment. It is a measure of the likelihood of a specific result occurring.
To calculate the odds of getting 2 out of 3 correct, you can use the formula: (2/3) x (1/3) x (1/3) = 2/9 or approximately 22.2%. This formula assumes that all three outcomes have an equal chance of occurring.
Several factors can affect the odds of getting 2 out of 3 correct, including the number of possible outcomes, the difficulty of the task, and the individual's level of knowledge or expertise in the subject matter. Additionally, external factors such as luck or chance can also play a role.
No, the odds of getting 2 out of 3 correct are not the same as the odds of getting 3 out of 3 correct. The former has a lower probability as it allows for one incorrect outcome, while the latter requires all three outcomes to be correctly predicted, making it less likely to occur.
Understanding the odds of getting 2 out of 3 correct can be useful in decision-making and risk assessment. It can help individuals or organizations make informed choices and minimize potential losses by considering the likelihood of a desired outcome.