12. Suppose we consider the following two step experiment:Step1: we roll a fair 3-sided die with labels - 1, 2, 3 two times.Step 2: If the sum of the two rolls in Step1 is even we toss a fair coin with P(H) =0.5Else we toss a coin with P(H) = 0.8Let E = Sum of the two rolls is less than or equal to 3 and F= Coin lands H.3(a) Draw the labelled tree diagram for this experiment.(b) List out the outcomes in the events E, F, and EПF.(c) Calculate P(E), P(F), P(G), P(E|F)(d) Are E and F independent?

(a) Draw the labelled tree diagram for this experiment.The tree diagram can be drawn as follows:…

Answered: 12. Suppose we consider the following…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.8: Probability

Problem 32E

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