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 on wheat bread and popcorn in her box?
A) 1/6
B) 1/24
C) 1/12
D) 3/4
There are 2 options for the type of bread (white or wheat) and 2 options for the type of sandwich (roast beef or bologna). This means there are a total of 2 * 2 = <<2*2=4>>4 possible combinations for the sandwich.
There are also 3 options for the snack (chips, popcorn, or pretzels).
Therefore, there are a total of 4 * 3 = <<4*3=12>>12 possible combinations for the sandwich and snack.
Finally, there are 2 options for the drink (bottled water or juice).
Therefore, there are a total of 12 * 2 = <<12*2=24>>24 possible combinations for the sandwich, snack, and drink.
Only 1 of these combinations includes a roast beef sandwich on wheat bread and popcorn.
Therefore, the probability that Gretchen will get a roast beef sandwich on wheat bread and popcorn in her box is 1/24.
The answer is B) 1/24.