Question

using the data below, what is the experimental probability that all 4 of the apples in a bucket are red? the problem has been simulated by tossing 4 coins (one to represent each apple). let heads represent a green apple and tails represent a red apple. a sample of 10 coin tosses is shown. experimental probability = ?%

Explanation:

Step1: Determine the number of successful outcomes

In the simulation, a successful outcome (all 4 apples are red) is represented by 4 tails (TTTT). Looking at the 10 - coin - toss samples, there is 1 occurrence of TTTT.

Step2: Calculate the experimental probability

The formula for experimental probability \(P=\frac{\text{Number of successful outcomes}}{\text{Total number of trials}}\). Here, the number of successful outcomes \(n = 1\) and the total number of trials \(N=10\). So, \(P=\frac{1}{10}\).
To convert the fraction to a percentage, we use the formula \(P(\text{percentage})=\frac{1}{10}\times100\%\).

$$P(\text{percentage})=\frac{1\times100}{10}\% = 10\%$$

Answer:

\(10\)