- #1

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- Homework Statement
- Find the probability of selecting exactly one of the correct

six integers in a lottery, where the order in which these

integers are selected does not matter, from the positive

integers not exceeding 40

- Relevant Equations
- In the theory of probability and statistics, a Bernoulli trial (or binomial trial) is a random experiment with exactly two possible outcomes, "success" and "failure", in which the probability of success is the same every time the experiment is conducted. -google

I don't understand why I can't answer this question as a bernuli trial.

There are 6 possible correct integers out of 40, and 34 incorrect integers out of 40. I'd assume it would look like this:

(6c1)(6/40)(34/40)^5

I guess, it's because when you choose and incorrect or correct integer, the probability of getting a correct/incorrect integer changes? meaning this part: "in which the probability of success is the same every time the experiment is conducted." of the equation is not satisfied? Does my reason for why this doesn't work make sense?

There are 6 possible correct integers out of 40, and 34 incorrect integers out of 40. I'd assume it would look like this:

(6c1)(6/40)(34/40)^5

I guess, it's because when you choose and incorrect or correct integer, the probability of getting a correct/incorrect integer changes? meaning this part: "in which the probability of success is the same every time the experiment is conducted." of the equation is not satisfied? Does my reason for why this doesn't work make sense?