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Two fair six sided dice with numbers 1 to 6 on the sides are thrown and the two numbers uppermost noted. The events X, Y and Z are defined as follows X-the total of the two numbers is even Y- the maximum of the two numbers is less than 5 Z- the total of the two numbers is greater than 9 Which one of the following statements is always correct? The probability of X is less than that of Y The probability of Z is 0.25 If Z occurs then the probability X also occurring is greater than it would otherwise be The probability that both X and Y occur is greater than 0.25.

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Two fair six sided dice with numbers 1 to 6 on the sides are thrown and the two numbers uppermost noted. The events X, Y and Z are defined as follows X-the total of the two numbers is even Y- the maximum of the two numbers is less than 5 Z- the total of the two numbers is greater than 9 Which one of the following statements is always correct? The probability of X is less than that of Y The probability of Z is 0.25 If Z occurs then the probability X also occurring is greater than it would otherwise be The probability that both X and Y occur is greater than 0.25

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