isabel chooses a golf ball from a bucket at random, notes the color, and puts it back. after 14 trials she…
isabel chooses a golf ball from a bucket at random, notes the color, and puts it back. after 14 trials she finds that she chose a pink ball 2 times. use the results to predict the number of times isabel will choose a pink ball in 280 trials.
Answer
Explanation:
Step1: Calculate experimental - probability
The experimental probability $P$ of choosing a pink ball in the first 14 trials is the number of times a pink ball was chosen divided by the total number of trials. So $P=\frac{2}{14}=\frac{1}{7}$.
Step2: Predict for 280 trials
To predict the number of times a pink ball will be chosen in 280 trials, we multiply the experimental - probability by the total number of new trials. Let $n$ be the number of times a pink ball is chosen in 280 trials. Then $n = P\times280$. Substituting $P=\frac{1}{7}$ into the formula, we get $n=\frac{1}{7}\times280 = 40$.
Answer:
40