Suppose that a six-sided die is weighted so that any even-numbered face is four times as likely to land face up as any odd-numbered face.(a)What are the probabilities of the six simple events? (Hint: Denote these events by O1, , O6. Then P(O1) = p, P(O2) = 4p, P(O3) = p, P(O6)= 4p. Now use a condition on the sum of these probabilities to determine p. Answer as an exact fraction or round your answers to three decimal places.)P(O1)= P(O2)= P(O3)= P(O4)= P(O5)= P(O6)= (b)What is the probability that the number showing is an even number? (Give the answer to three decimal places.)

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Answered: Suppose that a six-sided die is…

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section11.8: Probabilities Of Disjoint And Overlapping Events

Problem 2C

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Suppose that a six-sided die is weighted so that any even-numbered face is four times as likely to land face up as any odd-numbered face.

(a)

What are the probabilities of the six simple events? (Hint: Denote these events by O₁, , O₆. Then P(O₁) = p, P(O₂) = 4p, P(O₃) = p, P(O₆)= 4p.
Now use a condition on the sum of these probabilities to determine p. Answer as an exact fraction or round your answers to three decimal places.)

P(O₁)=

P(O₂)=

P(O₃)=

P(O₄)=

P(O₅)=

P(O₆)=

(b)

What is the probability that the number showing is an even number? (Give the answer to three decimal places.)

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