Question

A standard 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.

Answer 1

Answer:omg sorry i didnt mean to press answer

Explanation:

Answer 2

6.25% of chances.

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:

`P = (cases)/(events)`

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

`P = (13)/(52)`

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:

`P=(13)/(52) .(13)/(52) = (169)/(2704)=0.0625(or 6.25%)`

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