Probability

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Questions

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1.If three standard six-sided dice are rolled simultaneously, what is the probability that exactly two of them display the same number?

2.If three standard six-sided dice are rolled simultaneously, what is the probability that all three dice display distinct numbers?

3.If three standard six-sided dice are rolled simultaneously, what is the probability that all three dice display the same number?

4.A basket contains 5 apples and 4 oranges. If three fruits are selected randomly, what is the probability that the selection includes at least two apples?

5.A bag contains 7 green balls and 8 white balls. If two balls are picked at the same time, what is the probability that both balls are of the same color?

6.What is the probability that three specific individuals always sit together when six people are arranged in a row?

7.What is the probability of selecting either a spade or a king from a standard, well-shuffled deck of cards?

8.When tossing four coins, what is the probability of obtaining exactly two heads and two tails?

9.When rolling two dice simultaneously, what is the probability that one die shows an even number while the other shows an odd number?

10.A number is randomly chosen from the first 20 natural numbers. What is the probability that the selected number is either even or prime?

11.What is the probability of randomly selecting a perfect cube from the numbers 1 through 100?

12.A fair coin is flipped five times. What is the probability of getting at least one tail in these five tosses?

13.What is the probability that a randomly chosen number from the first 50 natural numbers is a composite number?

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