Question

There are 3 peanut butter and 4 vegetable sandwiches in a tray. Dennis chooses 3 of them at random. What is the probability that he chooses 2 vegetable sandwiches one after the other, and then 1 peanut butter sandwich?
Group of answer choices

Answer 1

step 1) find the probability of getting 1 vegetable sandwich

(# of vegetable sandwiches) / (total # of sandwiches)

step 2) find the probability of getting the 2nd vegetable sandwich. for this calculation, subtract 1 from the total # of vegetable sandwiches, and subtract 1 from the total # of sandwiches. this represents the vegetable sandwich that was already picked out from step 1

step 3) find the probability of getting the peanut butter sandwich

(# of peanut butter sandwiches) / (total # of sandwiches)

remember, this is your third sandwich, so make sure to subtract another sandwich from the part 2 total

step 4: multiply the probabilities from steps 1-3 together