I have a shuffled deck of 52 playing cards. A deck of cards has four different suits, with an even number of cards in each. I pick a card at random. What is the probability of me picking any card which is in the spades suit, as a decimal?

The probability is 0.25

Step-by-step explanation:

Here is a probability question.

We want to know the probability of picking a card which is in the spades suit.

Now, what we know is that there are a total of 52 cards and we have 4 suites.

Each suite have equal number of cards. So definitely the number of cards in the spades suit will be 52/4 = 13 cards

Thus, the probability of picking any card in the spades suit = number of cards in the spades suit/ Total number of cards in the deck

Mathematically that would be 13/52 = 1/4 = 0.25

Scale factor for dilation is 1/2 or 0.5

because 1/2 (8,0) = (4,0) ; 1/2(6,2) =(3,1) ; 1/2(-2,-4) = (-1,-2)

If P'Q'R' is reflected in y axis x coordinate will be same but y coordinate will be negatived

P" ( 4,0)

Q" (3,-1)

R"(-1,2) 

The triangle is reflected. the sides are equal. Areas are equal.

Distance between (4,0) and (3,-1) = sqrt[(4-3)^2+(0-(-1))^2] = sqrt[1+1] =sqrt (2)

In the other triangle distance between (4,0) and (3,1) =sqrt[(4-3)^2+(0-1)^2] =sqrt(1+1) =sqrt(2)

and so on.