Barbara is trying to decide which of her two friends to invite over Saturday night for a sleepover. She writes all six of their names on slips of paper and places them in a hat. Barbara will draw one name and then draw another name. Is this an example of an independent or dependent event?

A. This is an example of a dependent event because she draws a name and does not place it back into the hat
B. This is an example of a independent event because she draws a name and does not place it back into the hat.
C. This is not an independent or dependent event because she should let all six of her friends sleep over on Saturday.
D. none of the above

A dependent event is affected by the outcome of a second event. When two events are dependent events, one event influences the probability of another event.

What is independent event?

Two events are independent if the occurrence of one event does not affect the chances of the occurrence of the other event.

For the given question,

Barbara is trying to decide which of her two friends to invite over Saturday night for a sleepover.

Barbara will draw one name and then draw another name.

There are totally six names in the hat, Barbara draws one name without replacing it she draws the second name.

So the probability of second event depends on the first event.

Hence we can conclude that option (A) This is an example of a dependent event because she draws a name and does not place it back into the hat is the correct answer.

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