Question

1. Compute the probability of drawing two clubs from a standard deck of 52 cards. Round your answer to fourdecimal places.Answer:2. Compute the probability of drawing two face cards from a standard deck of 52 cards. Round your answer tofour decimal places.Answer:3. Compute the probability of drawing two aces from a standard deck of 52 cards. Round your answer to fourdecimal places.Answer:

Answer 1

Data

• Deck: 52 cards

,

• Clubs in a deck: 13

,

• Faces in a deck: 12

,

• Aces in a deck: 4

Procedure

• 1

To get the probability of drawing two clubs from a standard deck of 52 knowing that there are 13 club cards, we have to use the compound probability (P):

$P=\frac{13C2}{52C2}$

Then, to calculate the number of possibilities of choosing two out of the thirteen that we have is:

$13C2=78$

While choosing the probability of the total is:

$52C2=1326$

Finally, we get:

$P=\frac{78}{1326}$$P\approx0.0588$

• 2

Following the same procedure:

$P=\frac{12C2}{52C2}=\frac{11}{221}$$P\approx0.0498$

• 3.

Following the same procedure:

$P=\frac{4C2}{52C2}=\frac{1}{221}$$P\approx0.0045$

Answer:

• 1. 0.0588

,

• 2. 0.0498

,

• 3. 0.0045