Question

In: Statistics and Probability

Question 1 Which of the following shows independent events? Select the correct answer below: rolling a...

Question 1

Which of the following shows independent events?

Select the correct answer below:

rolling a 3 with a standard die and then rolling a sum greater than 4 when counting the next roll

drawing a 10 and then drawing a 9 without replacement from a standard deck of cards

rolling a sum of 6 from the first two rolls of a standard die and a sum of 4 from the second two rolls

drawing a face card and then drawing a 3 without replacement from a standard deck of cards

Expert Solution

Two events are said to be independent if the occurrence of one doesn't effect the occurrence of the other.

In other words two events A and B are independent if

The events rolling a 3 with a standard die and then rolling a sum greater than 4 when counting the next roll

As also

Hence the two events are independent

The events drawing a 10 and then drawing a 9 from a standard deck of cards are dependent as cards are drawn without replacement.

The events rolling a sum of 6 from the first two rolls of a standard die and a sum of 4 from the second two rolls are independent As outcomes of first two rolls will not effect the outcomes of the second rolls.

The events drawing a face card and then drawing a 3 without replacement from a standard deck of cards are not independent as drawing is done without replacement

orchestra answered 2 years ago

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