Mathematics, 22.11.2019 21:31 Edrayton
We toss three fair coins simultaneously and independently. if the outcomes of all coin tosses are the same, we win; otherwise, we lose. let a be the event that the first coin and second coin come up heads, b be the event that the second coin and third coin come up heads, and c be the event that we win. determine whether the below events are true or false.
a. events a and b are not independent.
b. events a and c are independent.
c. events a and b are conditionally independent given c.
d. events a and c are conditionally independent given b.
e. the probability of winning is 3
Answers: 2
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