Combining Two Probabilities

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This will be the scenario for the next few questions: You have a bag of coins in which 10% of the coins are weighted. The weighted coins land on heads 80% of the time, while the regular coins land on heads 50% of the time.

You pick a coin at random and flip it. You again want to know the probability of two "events" happening:
Event 1 - Picking a weighted coin.
Event 2 - The weighted coin lands on heads.


What is the probability that the coin will be weighted AND will land on heads?

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