For the following questions answer independent, dependent, or both. a) This probability causes you to subtract one from the total on the second draw because you don't replace. b) This probability causes you to multiply the probability of the first event by the probability of the second event. c) This probability causes you to leave the total the same on the second draw because you replace.

Question

Mathematics

Adriel Lloyd

9 September, 19:25

For the following questions answer independent, dependent, or both. a) This probability causes you to subtract one from the total on the second draw because you don't replace. b) This probability causes you to multiply the probability of the first event by the probability of the second event. c) This probability causes you to leave the total the same on the second draw because you replace.

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Answers (1)

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Nasir Cruz · Answer 1

(a) Dependent

(b) Both

(c) Independent

Step-by-step explanation:

a) When selections are made without replacement, the second (next) outcome is dependent of the first (previous) outcome. Therefore, we subtract one from the draw on the total.

Dependent

(b) The probability of Event A and Event B is the multiplication of the probability of event A and the probability of event B. Events A and B can either be dependent or independent.

Both

(c) When selections are made with replacement, the next outcome is independent of the previous outcome. Therefore, we say that the two events are independent.

Independent