Maurice Tutor

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Category > Management Posted 11 Jul 2017 My Price 12.00

casting four astragali

When casting four astragali, a throw that results in four different uppermost sides is called a venus. (See Section 1.4.) Suppose that four astragali, {A, B, C, D} each have the following probabilities of producing the four possible uppermost faces: P(1) = P(6) = 0.1, P(3) = P(4) = 0.4.

 

(a) Suppose that we write A = 1 to indicate the event that A produces side 1, etc. Compute P(A = 1, B = 3, C = 4, D = 6).

(b) Compute P(A = 1, B = 6, C = 3, D = 4).

(c) What is the probability that one throw of these four astragali will produce a venus?

(d) For k = 2, k = 3, and k = 100, what is the probability that k throws of these four astragali will produce a run of k venuses?

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Maurice Tutor
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Status NEW Posted 11 Jul 2017 05:07 PM My Price 12.00

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