Question

There are 20 Skittles in a bag. Five of them are orange and three of them are blue. Find the probability that you would choose an orange Skittle, replace it, and then choose a blue Skittle.

Answer 1

There is a 1 in 4 chance that you would choose an orange Skittle, replace it, and then choose a blue Skittle.

Answer 2

The probability of choosing an orange Skittle on the first draw is 5/20, which simplifies to 1/4. Since the Skittle is replaced, the probability of choosing another orange Skittle on the second draw is also 1/4.

The probability of choosing a blue Skittle on the third draw is 3/20.

To find the probability of all three events occurring, we can multiply the probabilities together:

(1/4) x (1/4) x (3/20) = 3/160

Therefore, the probability of choosing an orange Skittle, replacing it, and then choosing a blue Skittle is 3/160.