Question

Consider the following experiment:
A card is picked at random from a standard deck of 52 cards.
What is the sample space of the experiment? What is the probability of drawing a red card from the deck if 26 of the cards are
red?
a.
26 possible outcomes; P(red card) = 76
52 possible outcomes; P(red card) =25/52
52 possible outcomes: P(red card) =1/2

26 possible outcomes; P(red card) = 4/13

Answer 1

Answer:

The sample space is 52.

P(Red Card) = 1/2

Step-by-step explanation:

The sample space is simply all of the possible outcomes of an experiment;

In this case, the experiment is picking a card from a deck of 52, so there are 52 possible outcomes as you can pick any one of the 52 cards.

The probability of a red card is found by taking the number of outcomes that are picking a red card and dividing this by the sample space, so, since there are 26 red cards, there are 26 outcomes which are picking a red card and the sample space is 52;

So, we divide 52 by 26, which gives a 1/2.