# An urn contains 5 red balls and 7 black balls. Three balls were selected at random one after the...

## Question:

An urn contains 5 red balls and 7 black balls. Three balls were selected at random one after the other and without replacement. The probability of getting first two red balls then a black ball is _____. Provide a step-by-step solution.

## Conditional Events Probability

If the result of an event affects the outcome of the other, they are dependent events; their conditional probability is given by:

$$P(A \cap B)=P(A \ \text{and} \ B)= P(A) \cdot P(B|A) $$

## Answer and Explanation:

Since the balls are picked from the urn without replacement, the events are dependent. Its important to note that after each ball is picked, both the...

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