An example of dependent events in probability is as follows:

Suppose you have a deck of 52 playing cards. If you draw one card without replacing it and then draw another card, the outcome of the second draw depends on the outcome of the first.

Example:

1. Event A: You draw a King on the first draw.
2. Event B: You draw a Queen on the second draw.

These events are dependent because removing the King on the first draw changes the composition of the deck for the second draw. Specifically:

• The probability of Event A (drawing a King) is 4/52 = 1/13.
• If Event A happens, the probability of Event B (drawing a Queen from the remaining 51 cards) is 4/51.
• If Event A does not happen, the probability of Event B is 4/52.

In contrast, if you replaced the card after the first draw, the events would become independent.

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Here are 5 related questions to expand your understanding:

1. How is the probability of dependent events calculated using conditional probability?
2. What is the difference between independent and dependent events?
3. Can two dependent events occur simultaneously? Explain.
4. How does removing an item affect the probability of subsequent outcomes?
5. What are some real-life examples of dependent events in everyday scenarios?

Tip:

To calculate probabilities of dependent events, always account for how the first event alters the sample space or likelihood of the second event.