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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.

© BrainMass Inc. brainmass.com September 24, 2018, 1:26 pm ad1c9bdddf - https://brainmass.com/math/probability/probability-sample-space-probabilities-201196

Solution Preview

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 ...

Solution Summary

The expert makes sample spaces to find the probability.

$2.19