There are 7 red skittles, 15 green skittles and 3 blue skittles in a bag.You reach into a bag and pick a skittle. You then put it back into the bag. You then reach into the bag and pick a skittle. What is the probability that you chose 2 green skittles?
prob(2 green)
= (15/25)(15/25)
= 9/25
To find the probability of choosing 2 green skittles, we need to determine two probabilities: the probability of choosing a green skittle on the first draw and the probability of choosing a green skittle on the second draw. Since each draw is independent (meaning the outcome of the first draw does not affect the outcome of the second draw), we can multiply these two probabilities together to get the overall probability.
First, let's calculate the probability of choosing a green skittle on the first draw. There are a total of 7 red skittles, 15 green skittles, and 3 blue skittles in the bag, so the total number of skittles is 7 + 15 + 3 = 25. The probability of choosing a green skittle on the first draw is therefore 15/25.
Next, we need to calculate the probability of choosing a green skittle on the second draw. Since we put the first skittle back into the bag, the total number of skittles remains the same at 25. The probability of choosing a green skittle on the second draw is still 15/25.
To find the probability of both events happening (choosing 2 green skittles), we multiply the probabilities together: (15/25) x (15/25) = 225/625.
Simplifying the fraction, we get 9/25. Therefore, the probability of choosing 2 green skittles is 9/25 or approximately 0.36 (36%).