Show all your work. 1 What are all the simple outcomes and probabilities of a fo
ID: 2929820 • Letter: S
Question
Show all your work. 1 What are all the simple outcomes and probabilities of a four-sided die rolled twice? a Fist die Seconl Simple roll die roll a l 2 2 3 I 4 AL 2. 23 3 3 2 3 2. 2. 3 3 b What js the probability of an outcome that contains 17 1/16 c What is the probability of an outcome that contains a 2? Sm 6 16 l6 What is the probability of an outcome containing a 1, 2, or 4? What is the probability of an outcome containing a 3 given that a 4 was rolled? What is the probability of an outcome containing an odd number given that it contains a 22 d e fExplanation / Answer
e)
P(4) = 7/16
P(3 and 4) = 2/16
Required probability, P(3|4) = (2/16)/(7/16) = 2/7
f)
P(2) = 7/16
P(odd and 2) = 4/16
P(odd|2) = (4/16)/(7/16) = 4/7