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. ? times
Answer
Explanation:
Step1: Calculate experimental probability
The experimental probability $P$ of choosing a pink ball is the number of times a pink ball was chosen divided by the total number of trials. In 14 trials, a pink ball was chosen 2 times. So, $P=\frac{2}{14}=\frac{1}{7}$.
Step2: Predict for 280 trials
Let $x$ be the number of times a pink ball is chosen in 280 trials. We set up a proportion using the experimental - probability: $\frac{1}{7}=\frac{x}{280}$. Cross - multiply gives $7x = 280$. Solving for $x$, we get $x=\frac{280}{7}=40$.
Answer:
40