Suppose a fair die is rolled 20 times. (a) What is the probability p that a 4 will occur any given time the die is rolled? (Enter your probability as a fraction.) p = (b) What is the probability q that a 4 will not occur any given time the die is rolled? (Enter your probability as a fraction.) q = (c) What is n for this experiment? n = (d) What is the probability that a 4 will occur 3 times in the 20 rolls? (Round your answer to three decimal places.)

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Suppose a fair die is rolled 20 times.

**(a)** What is the probability \( p \) that a 4 will occur any given time the die is rolled? (Enter your probability as a fraction.)

\[ p = \]

**(b)** What is the probability \( q \) that a 4 will not occur any given time the die is rolled? (Enter your probability as a fraction.)

\[ q = \]

**(c)** What is \( n \) for this experiment?

\[ n = \]

**(d)** What is the probability that a 4 will occur 3 times in the 20 rolls? (Round your answer to three decimal places.)

\[ \]
Transcribed Image Text:Suppose a fair die is rolled 20 times. **(a)** What is the probability \( p \) that a 4 will occur any given time the die is rolled? (Enter your probability as a fraction.) \[ p = \] **(b)** What is the probability \( q \) that a 4 will not occur any given time the die is rolled? (Enter your probability as a fraction.) \[ q = \] **(c)** What is \( n \) for this experiment? \[ n = \] **(d)** What is the probability that a 4 will occur 3 times in the 20 rolls? (Round your answer to three decimal places.) \[ \]
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