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Write and solve a probability problem involving dependent events.

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To solve this task remember the definition of the theoretical probability:

P(event)=the number of favorable eventsthe number of possible events(1)P(\text{event})= \dfrac{\text{the number of favorable events}}{\text{the number of possible events}} \tag1

Also, remember the definition of the probability for the dependent event:

P(A then B)=P(A)⋅P(B afer A)(2)P(A \text{ then } B) =P(A) \cdot P(B \text{ afer } A) \tag2

Let our event be the picking of cards. We have 8 cards, and 44 of them are aces and the other 44 are queens. What is the probability of picking 22 aces without replacing?

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