Question

How many outcomes are in the sample space for flipping three coins at once?

2

3

6

8

Answer 1

if you flop 1 coin, there are two possible outcomes : {Head, Tail}

Answer 2

yes

Answer 3

im just concerned if its a trick question because they say "sample space"

Answer 4

sample space contains all the possible outcomes

Answer 5

its just a set of all possible outcomes

Answer 6

sample space when you flip 1 coin is :
{H, T}

Answer 7

ok

Answer 8

can you guess what the sample space when you flip 2 coins ?

Answer 9

4

Answer 10

looks you have it :) what about 3 coins ?

Answer 11

6 correct ?

Answer 12

4 is not the sample space...that is the number of elements in the sample space when you toss two coins

Answer 13

^^

Answer 14

6 is a very good wrong guess

Answer 15

wait so the answer would be 3 then ?

Answer 16

may be list out all the possible outcomes and count them

Answer 17

well there are six possible outcomes

Answer 18

what are they

Answer 19

(h.t) (t.h)

Answer 20

? i think i did not take notes on sample space when doing the lesson so i dont remember what it meant

Answer 21

its okay, its easy... let me show you few possible outcomes :
1) All 3 coins showing Heads : `{Head, Head, Head}`

Answer 22

2) All 3 coins showing Tails : `{Tail, Tail, Tail}`

Answer 23

similarly
3) `{Head, Head, Tail}`
4) `{Head, Tail, Head}`
etc..

Answer 24

ok

Answer 25

list them all and count

Answer 26

http://web.mnstate.edu/peil/MDEV102/U3/S25/Cartesian3.PNG

Answer 27

oooooooooooooooooooooooooooooooo ok so 8 because the sample spaces counts the outcome itself ?

Answer 28

8 is right,
number of outcomes in sample space is 8

Answer 29

we're done! what if we are asked to find the number of outcomes in sample space when u toss 100 coins ? can we find the total count without actually listing all the possible outcomes ? try this when you're free :)