Question

Hudson is performing an experiment by tossing a paper cup into the air and recording how it lands. He

determines that there are three possible outcomes for how the cup will land: on its top, on its bottom, or
on its side. He is curious if the three outcomes are equally likely. The table below shows the results of
Hudson's experiment.
Outcome Frequency
Top 4
1
Bottom
Side
25
a. What is the approximate probability that on the next toss, the paper cup will land on its top? On its
bottom? On its side? Express each answer as a percentage.
b. From the results of Hudson's experiment, do the three outcomes appear to be equally likely? Explain
your reasoning using complete sentences.

Answer 1

A. The approximate probability that on the next toss, the paper cup will land on its top is 20% , on its bottom is 10%, and on its side is 70%.

B. The three outcomes appear to not be equally likely. Looking at the graph, we can see the side heavily outweighs the top or bottom by a lot. If we look at it this way, 25/30 for side, 1/30 for bottom, and 4/30 for top, the side has a much better chance of landing than any of the others combined.

Explanation:

Answer 2

We can expect that there's roughly about a chance of just over thirteen percent (13.3%) for the cup to land with strength and balance delicately upon its top surface, on the other hand there's a lesser likelihood at roughly three percent (3.3%) for it to come crashing down with force onto its bottom surface instead when dropped from an unpredictable height above ground level, yet this same unpredictable force works in favor as much as against us for getting sort after results; hence, in approximately eight out of every ten times (80 %), we may find ourselves relieved to see and hear when said dishware lands gracefully and at peace lying upon one or other long edges.