Question

one candy is drawn and replaced from the bag 80 times. how many times would you expect to draw a purple candy? ? times

Explanation:

Step1: Calculate the total number of candies

There are \(10 + 6+4=20\) candies in total.

Step2: Calculate the probability of drawing a purple candy

The probability \(P\) of drawing a purple candy is \(\frac{6}{20}=\frac{3}{10}\).

Step3: Calculate the expected number of times to draw a purple candy

The number of trials \(n = 80\). The expected - value \(E=n\times P\). So \(E = 80\times\frac{3}{10}=24\).

Answer:

24