Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

one candy is drawn and replaced from the bag 80 times. how many times w…

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 probability of drawing a purple candy

The total number of candies is $10 + 6+4=20$. The number of purple candies is 6. So the probability $P$ of drawing a purple candy is $P=\frac{6}{20}=\frac{3}{10}$.

Step2: Calculate the expected number of times

The number of trials $n = 80$. The expected - value formula is $E=n\times P$. Substitute $n = 80$ and $P=\frac{3}{10}$ into the formula: $E = 80\times\frac{3}{10}=24$.

Answer:

24