There are four suits: clubs, diamonds, hearts, and spades, and the following cards appear in each suit: ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, jack, queen, king. the jack, queen, and king are called face cards because they have a drawing of a face on them. diamonds and hearts are red, and clubs and spades are black. if you draw 1 card randomly from a standard 52-card playing deck, what is the probability that it will be:
a. a 4
b. a black card
c. a diamond
d. a none- face card

a. 4/52

b. 1/2

c. 1/4

d. 10/13

Step-by-step explanation:

In order to obtain the probabilities, you have to apply the formula:

Where P(A) is the probability of an event A, n(A) is the number of favorable outcomes for the event and n is the total number of possible outcomes.

For part a:

The total number of 4 cards is 4, because there are four suits and a card 4 for each suit

n(a)= 4

n=52 (The total number of cards)

P(a)=4/52

For part b:

There are two suits with black cards and 13 cards in each suit. Therefore, the number of black cards is: 13(2)=26

n(b)=26

n=52

P(b)=26/52=1/2

For part c:

The total number of cards with diamonds is 13

n(c)=13

n=52

P(c)=13/52=1/4

For part d:

There are 3 face cards in each suit, therefore the total number of face cards is (3)(4)=12. The rest of the cards are none-face cards, therefore:

n(d)= 52-12 = 40

n=52

P(d)=40/52=10/13

-2 is the right