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.

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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.
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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
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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
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Cheers,
Stan H.