2) Gather 16 to 30 coins. Shake and empty bag of coins 10 times and tally up how many head and tails are showing.
Number of coins: 20
* Consider the first toss, what is the observed probability of tossing a head? Of tossing a tail? Reduce to the lowest term.
Tossing a Head: 11 / 20
Tossing a Tail: 9 / 20
The fractions are already in the lowest terms.
* Did any of your repetitions have exactly the same number of heads and tails? Yes
* How many times did this happen? Once…10 heads and 10 tails (toss 5)
* Compute the average number of heads from the ten trials (add up the number of heads and divide it by 10).
11 + 8 +11 + 11+ 10 + 12 + 11 + 12 + 13 + 12 = 111
111 / 10 = 11.1
* Change this to the average probability of tossing heads by putting the average number of heads in a fraction over the number of coins you used in your tosses.
11.1 / 20 = 0.555
* Did anything surprising or unexpected happen in your results for this experiment? Yes, I did not expect to so many of the same results: 11H and 9T…4 times
12H and 8T…2 times
3) Write the sample space for the outcomes of tossing three coins using H for heads and T for tails. H: headsT: tails
(HHH, HHT, HTT, HTH, TTT, TTH, THT, THH)
P(E) = n(E)
P(E) = ⅛
This is known as a classical probability method.