You roll two number cubes.Let event A = You roll an even number on the first cube.Let event B = You roll a 6 on the second cube.Are the events independent or dependent? Why?A.Independent, because the outcome of the first roll doesn't affect the outcome of the second roll.B.Dependent, because 6 is an even number.C.Independent, because they have no outcomes in common.D.Dependent, because both cubes have six sides.
Question
You roll two number cubes.Let event A = You roll an even number on the first cube.Let event B = You roll a 6 on the second cube.Are the events independent or dependent? Why?A.Independent, because the outcome of the first roll doesn't affect the outcome of the second roll.B.Dependent, because 6 is an even number.C.Independent, because they have no outcomes in common.D.Dependent, because both cubes have six sides.
Solution
The events A and B are independent. This is because the outcome of the first roll doesn't affect the outcome of the second roll. The result of rolling the first cube does not influence the result of rolling the second cube. Therefore, the answer is A. Independent, because the outcome of the first roll doesn't affect the outcome of the second roll.
Similar Questions
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Which is true of dependent events?
When do we say that two events are independent events?*1 pointA. if the two events do not have any common outcomeB. if the two events have at least one common outcomeC. if the first event affects the outcome of the second eventD. if the first event does not affect the outcome of the second event
For Event A and Event B, $P\left(A\right)=\frac{7}{9}$P(A)=79 , $P\left(B\right)=\frac{8}{9}$P(B)=89 , and $P\left(A\text{ and }B\right)=\frac{56}{81}$P(A and B)=5681 . Are the events independent or dependent?Responsesindependentindependentdependent
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