Mathematical Methods in the Physical Sciences · Problem 16.2.14

FUNCTIONS OF A COMPLEX VARIABLE — Mary Boas

Mathematics — Methods · probability-sample-space-dice

Problem

Two dice are thrown. Use the sample space (2.4) to answer the following questions. (a) What is the probability of being able to form a two-digit number greater than 33 with the two numbers on the dice? (Note that the sample point 1, 4 yields the two-digit number 41 which is greater than 33, etc.) (b) Repeat part (a) for the probability of being able to form a two-digit number greater than or equal to 42. (c) Can you find a two-digit number (or numbers) such that the probability of being able to form a larger number is the same as the probability of being able to form a smaller number? [See note, part (a).]

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