Question 297026: Three fair coins are tossed.
(a) Write out the sample space
Determine the probability of each event.
(b) no heads
(c) exactly one head
(d) exactly two heads
(e) three heads
Answer by doncjones(3)   (Show Source):
You can put this solution on YOUR website! Use 0 to represent tails and 1 to represent heads. If you flip 3 coins, the possibilities are:
0 0 0
0 0 1
0 1 0
0 1 1
1 0 0
1 0 1
1 1 0
1 1 1
As you can see, there are 8 total outcomes.
b) the chance of getting no heads would be the 0 0 0 case, which is only one of the 8 cases, so the chances are 1/8.
c) Exactly one head are the 001, 010, 100 cases which is 3/8.
d) Two heads is 011, 101, 110 which is 3/8.
e) Three heads is 111, which is 1/8.
Don't forget. Most of the time two heads are better than one.
|
|
|
