Astandard deck of playing cards has 52 cards: 13 spades, 13 clubs, 13 hearts, and 13 dimonds. what is the probabipity of drawing a spade from a standard 52 card deck, replacing it, then drawing another spade? show your work or explain how you got your answer.

Step-by-step explanation:

Here we can use a standard probability definition, which says that the probability of happening an event is the fraction between total possible cases and total events:

In this case, the cases are spades, and total events are spades, clubs, hearts and diamonds, which sum 52. Replacing all values:

However, in this problem, after we take out a card, we will place it back again. And the probability we have to calculate is the chance of getting spades twice in a row. To do that, we have to consider that each card is an independent success, which means that neither one affects on the outcome of another one, and this is expressed as a multiplication.

So, for each time we are gonna take a spade card, the probability is 13/52, doing it twice, we have:

Therefore, there is a 6.25% of chances that we will pull out two spade cards in a row.

d

step-by-step explanation:

by observation, we can see that the the graph is simply the graph of y = |x| that has been shifted 4 units downwards and 3 units to the left.

we can recognize in choice d :

y = | x + 3 |   - 4 (rewriting in general form)

y = | x - (- 3) |   - 4

the "-4 " term means   that the graph has been shifted by 4 units in the negative y direction

the "-3 " term means   that the graph has been shifted by 3 units in the negative x direction

this matches our observation of the graph described above.