Probability
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Use a tree diagram.
Use a diagram to list the sample space showing possible arrangements of heads and tails when four coins are tossed . Then use the sample space to find the probability that:
1. at most two coins come up heads
2. at least two coins come up heads
3. no more than three coins come up tails.
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Solution Summary
The expert makes sample spaces to find the probability.
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When 4 coins are tossed, there are 16 possibilities. The sample space is:
HHHH
HHHT
HHTH
HHTT
HTHH
HTHT
HTTH
HTTT
THHH
THHT
THTH
THTT
TTHH
TTHT
TTTH
TTTT
The tree diagram would look like this (draw in the arrows yourself):
[see excel file]
First Coin: Second Coin: Third Coin: Fourth ...
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