A deck of playing cards consists of 52 cards It consists of

A deck of playing cards consists of 52 cards. It consists of four suits: hearts, diamonds clubs, and spades. Each suit has 13 cards. Each suit has numbered cards 1 through 10, the jack, queen, king, and ace. One card is to be selected at random from the deck of cards. Find the probability that the card selected is: a. A 6 b. A diamond c.Greater than 4 and less than nine.

Solution

a)

There are 4 6\'s out of 52 cards.

Thus,

P(6) = 4/52 = 1/13 or 0.076923077 [answer]

b)

There are 13 diamonds.

Thus,

P(Diamond) = 13/52 = 1/4 or 0.25

c)

This means cards that are between 5 and 8 inclusive, and those are 16 cards.

Thus,

P(greater than 4 but less than 9) = 16/52 = 4/13 or 0.307692308