Question

Question 6
What is the sample space of a trial in which you draw one card twice from a set of 4 kings: spade, club, diamond, and heart. The card is replaced in
the set before the second draw.

Answer 1

Answer:

In the first draw of the trial, the card drawn can be a king of spades, clubs, diamonds, or hearts. So, the size of the sample space is 4 in the first draw. In the second draw, the sample space size becomes 42 = 16.

Step-by-step explanation:

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Answer 2

The sample space consists of 16 possible outcomes.

We have trial in which you draw one card twice from a set of 4 kings: spade, club, diamond, and heart and the card is replaced in the set before the second draw.

We have to find the sample space of the trial.

What is Sample Space?

A sample space of any event is the set of total number of possible outcomes of that event.

The card is replaced in the set before the second draw.

After the card is drawn twice - the sample space set S will consist of-

4 x 4 = 16

Hence, the sample space consists of 16 possible outcomes.

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