Question

You are going to pull two cards from a standard deck of 52 cards (without replacement) and record whether you got a face card (jack, queen, king, or ace) or a number card (2-10). Which list of events correctly makes up the sample space?

Answer 1

just took the test, the correct answer is:

B) two number cards, two face cards, one number card and one face card

Answer 2

The list of event (pulling a face card,F or a number card, N) that correctly makes up the sample space when a card is drawn without replacement is;

FF

FN

NF and

NN

Explanation:

Here we have the definition of a sample space as one which has all possible outcomes

Therefore, the list of events that correctly makes up the sample space of events when you pull out two cards we have either a face card F or a number card N, and the sample space is;

FF

FN

NF and

NN

Where the likelihood of each outcome changes as the number of face cards and number card changes as each card is drawn without replacement.