SOLUTION: 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

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.
RELATED QUESTIONS
1. Three fair coins are tossed. Determine the probability of each event a) No heads b)... (answered by greenestamps)

Probabilities in Coin Tossing: Three fair coins are tossed. (a) Write out the... (answered by ewatrrr)

Lynn Damme's group of preschool children includes eight girls and five boys. If Lynn... (answered by ikleyn)

Three coins are tossed A)determine the number of points in the sample area B)construct... (answered by lynnlo)

Three coins are tossed. A)determine the number of points in the sample space.... (answered by stanbon)

three coins are tossed a). determine the number of points in the sample space b).... (answered by Fombitz)

Use a diagram to list the sample space showing the possible arrangements of heads and... (answered by stanbon)

5. A random experiment consists of tossing three fair coins and recording whether each... (answered by Boreal)

A coin is tossed 3 times . Determine the following a. Size of sample space b.... (answered by ikleyn)