(1 point) You roll a die. If it comes up a 6, you win $100. If not, you get to r

Question

(1 point) You roll a die. If it comes up a 6, you win $100. If not, you get to roll again. If you get a 6 the second time, you win $50. If not, you lose. Let X denote the amount you win in this game. Find the PMF of X. Choose the correct answer. You have only one attempt. A. P(1) = P(2) = P(3) = P(4)-P(5) = P(6) = 1/6, and P(z) = 0 for all other x B. P(100) = 1/6. P(50) = 1 /6, and P(z) = 0 for all other 2. C. P(0) = P(50) = 17( 100) 1/6, and P(z) = 0 for all other r D. P(0) = 4/6. P(50-1/6. P(100) = 1/6, and P(z) = 0 for all other x E. None of the other listed answers

Explanation / Answer

here probability of winning $100 =P(100) =1/6

probability of winning $50 P(50)=P(6 does not come on first and roll and it appears on second roll)=(5/6)*(1/6)=5/36

and P(0) =none of the rolls show a 6 =(5/6)*(5/6) =25/36

therefore option E is correct

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