The cafeteria creates pre-made boxed lunches with equal numbers of the following items:
a sandwich made with either white or wheat bread and either roast beef or bologna
a snack that is either chips, popcorn, or pretzels
a drink that is either bottled water or juice
If Gretchen randomly chooses one of the boxed lunches, what is the probability that she will get a roast beef sandwich and popcorn in her box?
A)1/6
B)1/3
C)1/2
D)1/12
There are 2 choices for the sandwich (roast beef or bologna) and 3 choices for the snack (chips, popcorn, or pretzels). Therefore, there are a total of 2 * 3 = 6 possible combinations for the sandwich and snack.
Among these 6 combinations, only 1 combination has a roast beef sandwich and popcorn.
So the probability that Gretchen will get a roast beef sandwich and popcorn in her box is 1/6.
Answer: A) 1/6