The following items are in a cooler: one turkey sandwich, one ham sandwich, one bottle of soda, and one bottle of water. The
sandwiches are the same size and same shape. The bottles are the same size and same shape. The tree diagram below shows all
the possible combinations of randomly selecting one sandwich and one bottle.
What is the probability of selecting a ham sandwich
and a bottle of water?
soda
ham< water
soda
turkey<water
A1/4
B2/3
C3/4
D1/3
A. 1/4
Explanation:
There are a total of 4 possible combinations:
1. Ham sandwich + soda
2. Ham sandwich + water
3. Turkey sandwich + soda
4. Turkey sandwich + water
Out of these 4 combinations, only 1 combination is selecting a ham sandwich and a bottle of water. Therefore, the probability is 1 out of 4, which is 1/4.