Question

Help :/

Answer 1

Well the sample space is the set of all possible outcomes, so what results could you possibly get in this experiment?

Answer 2

Sorry, here here, I just edited it-- A. 30 for sample space B. is 0.2 for P (A) and then for C.....

Answer 3

I think though that since A has to be PICKED FIRST, it makes B MUTUALLY exclusive is that correct? Because A has to be picked first....

Answer 4

They are mutually exclusive, but not for that reason. In both cases, the card is picked, then the coin is flipped. The question of mutual exclusivity comes down to "is it possible to have both A and B?"

Answer 5

Apologies again for posting the wrong formatted question XD....OOOOH so you cannot have both A and B because you only get 1 selection per draw or flip
right?

Answer 6

in A, you pick a green card then flip a tail.
in B, you pick a blue or red card, then flip a tail.

These two things cannot overlap because the card you pick is either green or it is (blue or red) but it can't be both of those things at the same time.

Answer 7

Oh ok so my logic was in error. Again. Thanks I think I'm beginning now to understand. Ok so with that, if there was a possibility out of a deck of 52 cards, it WOULD be possible to draw a Jack and diamond (so face and suit) but of course no coin. I just want to make sure I get it. (that wasn't another question but just making sense for my brain...)

Answer 8

Also, the sample space is the set of all possible outcomes. There are not thirty possible results -- only six.

Answer 9

no but for elements in a sample space though, isn't that the number of cards multiplied by the sides of a coin? Sorry that shouldn't be 30 >.< I actually had it as 20.

Answer 10

No, because your results are stated as {color,head/tail}. There are three possible colors, and two possible states for the coin.

Answer 11

(that or my class notes are wrong >.<)

Answer 12

OH so it's multiplying the possible outcomes (3 colors) x 2 (head of tail) for the coin?

Answer 13

wow yeah my notes are really wrong

Answer 14

Just remember that the sample space is made up of all the possible outcomes of your experiment. Ask yourself what you could possibly get in performing the experiment and add up the possibilities.

Answer 15

Ok so is asking "how many elements are there in the sample space" the same thing as asking "what is the sample space" ?

Answer 16

No. For the second question, you would have to list all of the elements in the sample space.

Answer 17

Ok so then the sample space would be 30?

Answer 18

I'm only asking b/c in our notes, we were told that "To determine the sample space, just count the cards and count how many types of landings of the coin there are (heads and tails). Then you can multiply to find the size of the sample space." so to me that would be 15 cards x 2 sides of the coins = 30

Answer 19

If you have a deck of 52 cards, then that is correct because each card is unique and so would constitute a separate possible outcome. However, all 6 green cards, for example, produce the same outcome.

Answer 20

The sample space is

(G,H) (G,T)
(B,H) (B,H)
(R,H) (R,T)

Answer 21

where G is green, B is blue, R is red, H is heads, and T is tails.