Question

Two cards are randomly drawn from an ordinary deck of playing cards without replacement. What is the probability that the first card is a heart and the second card is a diamond?

Answer 1

@Hero

Answer 2

Do you have an idea on how to solve?

Answer 3

fractions then calculate the mas of the sun times the speed out sound if a = 6

Answer 4

LOL Seriously though, are you lost?

Maybe the lessons from class should help you (Have you done a tree diagram?)

Answer 5

well at first is a fair 25% that it will be hearts then idk the rest

Answer 6

tree?
um no they never taught me that

Answer 7

@Falconmaster so what is the probablity of drawing the first card?

Answer 8

25%

Answer 9

cause there is 4 suits and 11 cards or something like that in each one

Answer 10

oh 13 not 11

Answer 11

OH then there is a 33%??? chance of drawling???/


im wrong or would it be another 25%?

Answer 12

It asks for the probability of drawing a heart as the first card, which means you should ask yourself the following set of questions: How many hearts are there in total in the deck? Next ask yourself, "How many cards are there in the deck in total?". Then divide

Answer 13

waitv 2/52

Answer 14

13 then
13 divied by 52?

Answer 15

\(\dfrac{\text{Number of hearts in the deck}}{\text{Total number of cards in the deck}}\)

Answer 16

Correct

Answer 17

0.25

Answer 18

Okay so now, the next step says, "without replacement" so that means when you calculate the probability of drawing the second card, you will have one less card in the deck than you had previously. Keep that in mind.

Answer 19

13 divied by 51 or 13 divied by 52 again

Answer 20

Now ask yourself, "How many diamonds are there in the deck?" and then "How many total cards are there in the deck?". And divide that. Then afterwards multiply the result of the two probabilities

Answer 21

13 divied by 52 so .25 times 2?

Answer 22

.5?

Answer 23

There's one less card in the deck remember? I was only explaining the process. I didn't say anything you already wrote was incorrect.

Answer 24

X.X XD lol okay

Answer 25

But I definitely would discourage from guessing. Do you know know what the two fractions are you will be mulitplying?

Answer 26

i think 13/52 and 13/51 but idk im not good with math

Answer 27

im thinking .5 cause i can jk cause of the make but then idk

Answer 28

*math

Answer 29

@Hero would it be 13/17?

Answer 30

or .7?

Answer 31

13/52 and 13/51 is correct.

Answer 32

ooo so i am smart XD

Answer 33

i used math way and divied the fractions and got .9

Answer 34

Multiply this:
\(\left(\dfrac{13}{52}\right)\left(\dfrac{13}{51}\right)\)

Answer 35

HA 0.06

Answer 36

There's only one right answer. You're allowed to reduce the answer to a fraction, but not to a decimal. The general rule is, if you start with fractions you should end with fractions.

Answer 37

Please do not use a calculator for this.

Answer 38

There is no need. You already know 13/52 reduces to 1/4

Answer 39

oh whaleden

Answer 40

So really, all you're multiplying is
\(\left(\dfrac{1}{4}\right)\left(\dfrac{13}{51}\right)\)

Answer 41

Also understand that I personally do not like decimals and only resort to them when I absolutely have to which is not often.

Answer 42

The when you got your fractions mutiplyed then you can turn it in to a decimal and you should end up with 0.06 ill try that next time

Answer 43

oh sorry forgot to add that the answer was a decimal

Answer 44

shanks hero

Answer 45

Did you understand anything I said about the fact that if you start with fractions you should end with fractions?

Answer 46

This is a general rule of mathematics: end with the same notation you started with.

Answer 47

Yeah i heard you id prefer to do it that way but stupid study island has to make it rocket science

Answer 48

The correct answer is "The probability of drawing a heart and then a diamond is \(\dfrac{13}{204}\).

Answer 49

for some dumb reason they wanted a decimal which im like no