SOLUTION: Use a diagram to list the sample space showing the possible arrangements of heads and tails when four coins are tossed. Then use the sample space to find the probability that a.

Question 129029This question is from textbook Fundamentals of Mathematics
: Use a diagram to list the sample space showing the possible arrangements of heads and tails when four coins are tossed. Then use the sample space to find the probability that
a. all four coins come up heads
b. exactly two coins come up heads
c. exactly three coins come up tails
d. at most two coins come up heads
e. at least two coins come up heads
f. no more than three coins come up tails.
This question is from textbook Fundamentals of Mathematics

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Use a diagram to list the sample space showing the possible arrangements of heads and tails when four coins are tossed.
-----------
There are 2^4=16 possible outcomes:
4 heads----one way
3 heads----4 ways
2 heads----6 ways
1 head-----4 ways
0 heads----1 way
-----------------------
Then use the sample space to find the probability that
a. all four coins come up heads : 1/16
b. exactly two coins come up heads : 6/16
c. exactly three coins come up tails : 4/16
d. at most two coins come up heads: (1 + 4 + 6)/16
e. at least two coins come up heads: (6 + 4 + 1)/16
f. no more than three coins come up tails: 1 = (1/16) = 15/16
=============
Cheers,
Stan H.

RELATED QUESTIONS
Please help! Use a tree diagram showing all possible results when four fair... (answered by swincher4391)

Use a tree diagram showing all possible results when 4 fair coins are tossed. List the... (answered by longjonsilver)

Question: Use a tree diagram showing all possible results when four fair coins are... (answered by jim_thompson5910)

Ten identical coins are tossed. How many possible arrangements of the coins include five... (answered by ikleyn)

(III) Three coins are tossed, (a) Determine the number of points in the sample space... (answered by Fombitz,ewatrrr)

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)

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

Three coins are tossed simultaneously. a. draw a tree diagram or list all possible... (answered by stanbon)