Probability Questions for 30 points. Anyone?
2. What is the probability that the last three digits of a randomly selected phone number are all prime? Express your answer as a common fraction.
3. A five-digit number is created using the digits 1-5 each once. What is the probability that the number is odd? Express your answer as a common fraction.
4. The digits 2, 3, 4, 7 and 8 are each used once to form a five-digit number. What is the probability that the tens digit is odd and the number is divisible by 4? Express your answer as a common fraction.
5. The sum of the digits of a number is 9. What is the probability that the number is prime?
6. Two fair coins are flipped. What is the probability that at least one coin is heads? Express your answer as a common fraction.
7. In a bag are only red and white marbles. The probability of choosing a red marble is 3/5. The probability of choosing two red marbles without replacement is 3/10. How many white marbles are in the bag?
8. Manu and Janani are playing a coin toss game with a fair penny. Manu gets a point if the penny lands on tails, and Janani gets a point if the penny lands on heads. The score is Janani 9, Manu 7, in a game to 10 points. What is the probability that Janani will win the game? Express your answer as a common fraction.
9. Six number cubes with faces numbered 1-6 are rolled. The sum of the numbers on the six top faces is calculated. What is the most likely sum?
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