Question

(100 points + brainliest)
A box of chocolates contains five milk chocolates, three dark chocolates, and 8 white chocolates. You randomly select and eat three chocolates. The first piece is milk chocolate, the second is dark chocolate, and the third is white chocolate.

What is the probability that this event happens? Show all of your steps used to solve this problem.

Answer 1

Answer:

3.6%

Step-by-step explanation:

This is an example of dependent events. When events are dependent, you have to multiply the probability of each event that happens after each other. Probability is desired outcome over all possible outcomes. For the milk chocolate, there are 5 pieces we can pick out of 16, so it's 5/16. Next, the probability of dark chocolate is 3/15 (There is one less piece of chocolate overall now). For the white chocolate, the possibility is 8/14. So now we have to multiply:

5*3*8             120           1

______   =  _____  =  ___ = (about) 0.036

16*15*14        3360        28

So, that's 3.6%

Hope this helps!