A jar of 70 candies has the following colors: 28 orange, 7 white, 14 brown, and 21 yellow.
What is the probability of randomly drawing an orange candy, replacing it, and drawing another orange candy?
There are a total of 70 candies in the jar, and 28 of them are orange.
When the first orange candy is drawn and replaced, the probability of drawing another orange candy does not change. Therefore, the probability of drawing an orange candy and replacing it is the same as the probability of drawing an orange candy from the original jar.
The probability of randomly drawing an orange candy from the original jar is 28/70 = 4/10 = 2/5.
Therefore, the probability of randomly drawing an orange candy, replacing it, and drawing another orange candy is (2/5) * (2/5) = 4/25.
To find the probability of randomly drawing an orange candy, replacing it, and drawing another orange candy, you need to first determine the number of orange candies in the jar.
Given that there are 70 candies in total, and out of these, 28 are orange, you can calculate the probability as follows:
Probability of drawing an orange candy = Number of orange candies / Total number of candies
= 28 / 70
= 2 / 5
Since the orange candy is replaced after the first draw, the probability of drawing another orange candy remains the same:
Probability of drawing another orange candy = Probability of drawing an orange candy
= 2 / 5
Therefore, the probability of randomly drawing an orange candy, replacing it, and drawing another orange candy is 2/5 * 2/5, which simplifies to 4/25.