Question

I select two cards from a deck of 52 cards and observe the color of each (26 cards in the deck are red and 26 are black). Which of the following is the most appropriate sample space S for the possible outcomes?
a. S={red, black}
b. S={(red, red), (red, black), (black, red), (black, black)} where, for example, (red, red) stands for the event "the first card is red and the second card is red."
c. S={0,1, 2}
d. All of the above

Answer 1

Answer:

b. S={(red, red), (red, black), (black, red), (black, black)} where, for example, (red, red) stands for the event "the first card is red and the second card is red."

Step-by-step explanation:

• The sample space S for the possible outcomes reflects all possible cmobinations linked to the event of selecting the two cars.
• In any case, you have to take into account all possible scenarios from te event of selecting two cars. Because there are two possible alternatives of color for the cars, when picking two cars, you can face the situations: S={(red, red), (red, black), (black, red), (black, black)}.