Question: A developer for another mobile game uses gems to help players advance faster. They are going to select a player at random to win 100

A developer for another mobile game uses gems to help players advance faster. They are going to select a player at random to win 100 gems. From statistics the developer has collected, they know

P(scored at least 500 points)=0.3P(scored at least 500 points)=0.3

and

P(already bought gems | scored at least 500 points)=0.05P(already bought gems | scored at least 500 points)=0.05

. What is the probability that the winner will have both scored at least 500 points and bought gems?

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Explain or show your reasoning.

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