Question

A player pays $2 to randomly draw a card from a standard deck of playing cards. He wins $10 if he draws a black 2, and $5 if a 10 or ace is picked. Determine the probability of each possible value of X (the amount won or lost) to complete the probability distribution for the game. Give each value as a fraction with a denominator of 52.

Answer 1

1/52

2/52

4/52

Explanation:

If you randomly draw a card from the standard deck the drawing an specific card will have a probability of 1/52

If you draw a black 2 it can be from Spades 2, or Clubs 2, therefore you have only two options, and the probability is 2/52

If you draw an ace it can be spades, clubs, hearts or diamonds, so the probability would be 4/52