Question 4

We will find the experimental probability for each outcome by dividing the number of favorable outcomes by the total number of trials.

Step 1 — Note the observations

We tossed the paper cup 100 times. We recorded how it landed each time. It landed on its bottom 35 times. It landed on its top 15 times. It landed on its side 50 times.

Step 2 — Find probability for bottom

Let's find the probability for landing on the bottom. We use the formula for experimental probability. It is (favorable outcomes) / (total trials).

$P(\text{bottom}) = \frac{\text{Number of times it landed on bottom}}{\text{Total number of tosses}}$

$= \frac{35}{100}$

$\boxed{\frac{35}{100}}$

Step 3 — Find probability for top

Now, let's find the probability for landing on the top. We use the same experimental probability formula.

$P(\text{top}) = \frac{\text{Number of times it landed on top}}{\text{Total number of tosses}}$

$= \frac{15}{100}$

$\boxed{\frac{15}{100}}$

Step 4 — Find probability for side

Finally, let's find the probability for landing on its side. We apply the experimental probability formula again.

$P(\text{side}) = \frac{\text{Number of times it landed on side}}{\text{Total number of tosses}}$

$= \frac{50}{100}$

$\boxed{\frac{50}{100}}$

Answer

(i) The probability of landing on its bottom is $\frac{35}{100}$. (ii) The probability of landing on its top is $\frac{15}{100}$. (iii) The probability of landing on its side is $\frac{50}{100}$.