Question 1124879: A Bernoulli Trials experiment consists of 3 trials, with a 35 probability of success on each trial.
What is the probability of at least 1 success and at least 1 failure?
What is the probability of 2 successes, given at least 1 success?
What is the probability of at least 2 successes, given at least 1 failure?
Enter your answers as whole numbers or fractions in lowest terms.
Answer by Boreal(15235)   (Show Source):
You can put this solution on YOUR website! .35 probability will be used
0 successes: .65^3=0.2746
1 success=3*.35*.65^2=0.4436
2 successes=3*.35^2*.65=0.2389
3 successes=.35^3=0.0429
Therefore, at least 1 success and at least 1 failure are the two middle ones or probability of 0.6825
Given at least 1 success, the probability of at least two successes is .35*.35+.35*.65*.65*.35=0.5775
probability of at least 2 successes given at least 1 failure is 0.2389, the probability of 2 successes.
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