Draw one candy from the bag. If you replace the candy each time, predict how many times a purple candy will be chosen out of 80 draws.
To predict the number of times a purple candy will be chosen out of 80 draws, we need to consider the proportion of the candies in the bag that are purple. Let's assume there are 8 purple candies in the bag.
If we replace the candy after each draw, the probability of choosing a purple candy remains constant throughout the 80 draws. The probability of choosing a purple candy on any given draw is therefore 8/80 or 1/10.
To predict the number of times a purple candy will be chosen, we multiply the probability of choosing a purple candy by the total number of draws:
1/10 * 80 = 8
Therefore, we can predict that a purple candy will be chosen approximately 8 times out of the 80 draws.
To predict the number of times a purple candy will be chosen out of 80 draws, we need to know the probability of selecting a purple candy in one draw.
Let's assume that the bag contains purple candies and candies of other colors, and the probability of selecting a purple candy in one draw is p.
Since we replace the candy each time, the probability of selecting a purple candy in each draw remains the same at p.
The number of times a purple candy will be chosen out of 80 draws can be modeled as a binomial distribution with n = 80 (number of draws) and p (probability of selecting a purple candy in one draw).
The expected number of purple candies chosen can be calculated using the formula:
Expected number = n * p
Since p is constant throughout the draws, we can calculate the expected number of purple candies by simply multiplying p by the number of draws, 80.
Therefore, the predicted number of times a purple candy will be chosen out of 80 draws can be represented as:
Predicted number = 80 * p
Please note that to determine the actual value of p (probability of selecting a purple candy in one draw), we need additional information about the distribution of candies in the bag.