Question

Find the probability of drawing a face card or a 3 from a standard deck of cards.

Answer 1

In a standard deck of cards, there is 52 cards.

Face cards includes: Jack, Queen, King, and 1
We are also including cards worth: 3

There are 4 of each cards.

J = 4
Q = 4
K = 4
1 = 4
3 = 4

Add all of them up.

4 + 4 + 4 + 4 + 4 = 20

There are 20 cards that have a face card or is a 3.

Now place the amount you got with the total.

20/52 is the fraction probability.

Divide 20 with 52

20/52 = 0.3846

0.3846 is the decimal probability (or rounded = 0.38)

To find the percentage probability, move the decimal point to the right two place values

0.3846 becomes 38.46%.


hope this helps!

Answer 2

There are of course 52 cards in the standard deck. A face card is a jack, queen or king, and each comes in four suits, so 12 face cards. 

Four 3s mean 16 cards of 52 satisfy our event.

$p = \dfrac{16}{52} = \dfrac{4}{13}$