AP BIOLOGY

HEREDITY

BASICS OF PROBABILITY

Question [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
There are three bags in front of you. One contains candy. The other two contain sand. What are your chances of choosing the bag that contains candy?
A
Not very likely
B
very likely
C
a sure thing
Explanation: 

Detailed explanation-1: -Open the box that is labeled “Apples and Oranges". You know that since none of the labels are correct, the box must either contain only apples, or only oranges. Suppose that you remove an apple from that box. Therefore, that box is the “Apples Only” box.

Detailed explanation-2: -There are three boxes, one contains only apples, one contains only oranges, and one contains both apples and oranges. The boxes have been incorrectly labeled such that no label identifies the actual contents of the box it labels. Opening just one box, and without looking in the box, you take out one piece of fruit.

Detailed explanation-3: -Since the label is wrong, it must contain both apples and oranges. This means the box labeled “apples” has to contain only oranges. Suppose instead you got an orange from the box labeled “apples and oranges.” By similar logic as above, this box must contain only oranges.

Detailed explanation-4: -One possible answer is: Divide one apple into three equal parts and give one part to each person. Give the other whole apple to one of the persons and ask him or her to share it with the other two.

There is 1 question to complete.