Probability (Medium)

Probability: core idea

• 1. A bag has $4$ red and $6$ blue marbles. Two are drawn without replacement. What is $P(\text{both red})$?

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• 2. Three fair coins are flipped. What is $P(\text{exactly two heads})$?

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• 3. A card is chosen from a standard deck. What is $P(\text{heart or king})$?

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• 4. A fair die is rolled twice. What is $P(\text{same result})$?

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• 5. A number from $1$ to $12$ is selected. What is $P(\text{divisible by }2\text{ or }3)$?

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• 6. A bag has $5$ green and $5$ yellow marbles. Two are drawn with replacement. What is $P(\text{different colors})$?

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• 7. A random permutation of $1,2,3$ is made. What is $P(\text{it begins with }1)$?

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• 8. Two dice are rolled. What is $P(\text{product is even})$?

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• 9. A card numbered $1$ through $9$ is chosen. What is $P(\text{prime})$?

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