Probability question

Question

You have a bag of candy filled with pieces which are all the same size and shape. Four are gumballs and six are chocolate. You draw a gumball out, decide you don't like it, put it back, and select another piece of candy. 

What is the probability of selecting a Gumball on your first attempt and Gumball on your second attempt? Leave your answer as a fraction. No need to reduce the fraction.

Answer 1

Since we have 4 gumballs and 6 chocolate, we have a total of 10 possible choices to pull out of the bag.

The probability of selecting a gumball on the first attempt is 4/10 or 2/5.

Because we replace the gumball back into the bag, the probability of drawing a gumball on the second attempt is also 4/10 or 2/5.

If we want to know the probability of drawing a gumball the first time AND drawing a gumball the second time we multiply the two probabilities.

2/5 * 2/5 = 4/25