Answer:

Step-by-step explanation:
You have 52 cards in a deck and 13 cards of each suit.
The probability of picking a diamond in a complete deck of cards is:

Or the probability is 13 put of 52.
Since you took out 1 diamond card already there would be only 51 cards left and 12 diamond cards left. So you would have a probability of:

If we simplify it you will have a probability of:

Answer:
= 0.45
= 0.54 repeating
Step-by-step explanation:
You can solve these easily with a calculator.
= 0.45
= 0.54 repeating
Step-by-step explanation:
the proof is given above
Answer:

Step-by-step explanation:

When converting mixed numbers (such as the one above), to improper fractions, we must first multiply the whole number by the denominator:

Then, add the numerator the the product:

Now, put the sum over the denominator to get your solution:

-
To check your work, you can convert the improper fraction to a mixed number to make sure you will end up with
.
Divide
into
:
with a remainder of 
Put the remainder over the denominator:

Therefore, our solution is correct!
Answer:
4.82
Step-by-step explanation: