Question

You toss 3 fair coins in the air at once.

a) List the sample space.
b) What is the probability of getting all 3 heads?
c) What is the probability of getting all 3 tails?
d) What is the probability of getting 1 head and 2 tails?
e) What is the probability of getting 1 tail and 2 heads?
f) What do the probabilities from parts b through e add up to?

Answer 1

@ash2326 ?

Answer 2

The sample space is HHH, HTH, HTT, TTT, THT, THH

Answer 3

Okay thanks

Answer 4

For b, i got Three heads is 111, which is 1/8.

Answer 5

@jefftheloveableguy it's not correct

Answer 6

yes sample space is all possibilities

Answer 7

The probability of all 3 heads is 1/8

Answer 8

Sample space, all head, 1 head 2 tails, 2 heads 1 tail and all there tails
HHH
HHT
HTH
HTT
THH
THT
TTH
TTT

Answer 9

ok thats what i got.

Answer 10

and ok @ash2326 what about b-f

Answer 11

b is 1/8 i think.

Answer 12

ummm TTH and HTT are the same thing

Answer 13

b is 1/8

Answer 14

c?

Answer 15

Ok probability of 1 head and 2 tails is 1/4

Answer 16

Proability of 1 Tail 2 heads is 1/4

Answer 17

Let's number the cases
1)HHH
2)HHT
3)HTH
4)HTT
5)THH
6)THT
7)TTH
8)TTT

Only one out of 8 cases, is having all three heads
so P( 3 heads)=\(\frac{1}{8}\)

Answer 18

Ok thats what i got:D c??

Answer 19

All the probabilities add up to 1

Answer 20

count the cases where there is 1 head and 2 tails

Answer 21

1/8 is c right

Answer 22

nvm listen to ash...im doing sloppy work lol

Answer 23

yes...

Answer 24

is d : 1/4?

Answer 25

wait should be 3/8 for 1 head 2 tails
3/8 for 1 tail and 2 head
1/8 for 3 tails
1/8 for 3 heads
all add up to 1

Answer 26

my mistake...im in AP statistics. Hbu

Answer 27

(b) 1/8

(c) 1/8

(d) 2/8 or 1/4

(e) 3/8

(f) 8/8 or 1

Answer 28

are my answers correct?

Answer 29

case 4, 6 and case 7 have 1 head and two tails, total 3 cases

Answer 30

d is 3/8

Answer 31

(b) 1/8

(c) 1/8

(d) 3/8

(e) 3/8

(f) 8/8 or 1

Answer 32

is my answer right

Answer 33

yes

Answer 34

thx guys

Answer 35

2 medals for you :P

Answer 36

do u guys wanna look at my new question

Answer 37

alright