An Unfair Coin:
Name______________________________
An Application of Absolute Value Inequalities
Section_________________
One application of an absolute value inequality is the concept of the unfair coin. If a coin is tossed 100 times, we
would expect approximately 50 of the tosses to be heads. A coin is considered an unfair coin if h, the number of
outcomes that result in heads, satisfies the inequality
|
ℎ−50
5
| ≥ 1.645.
What values of h will tell us we have an unfair coin, if the coin is tossed 100 times? Show your work in in the
space provided here:
Now it is your turn to toss a coin 100 times. Record the number of times the coin is heads and the number of
times the coin is tails on the lines below. You may want to ask someone else to tally the results of the tosses.
Number of times the coin is heads __________
Number of times the coin is tails __________
Have you been tossing an unfair coin? Explain your answer (using at least one complete sentence) here: