Question

# Write and solve a probability problem involving dependent events.

Solution

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Step 1
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To solve this task remember the definition of the theoretical probability:

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

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

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

Let our event be the picking of cards. We have 8 cards, and $4$ of them are aces and the other $4$ are queens. What is the probability of picking $2$ aces without replacing?