APPLES AND BANANAS Let event "A" represent a randomly selected high school student ate an apple at lunch and event "B" represent the
student ate a banana at lunch. The event did NOT eat an apple is then A and did NOT eat a banana is B.
B
B
0.20
0.10
0.30
> >
The right notation can save a lot of explaining. For example, answer each of the next two questions in a complete
sentence:
A 0.45
0.25
0.70
0.65
0.35
a. P(B)
b. P(A)
The symbol u stands for the "union" and represents the "or" condition, while the symbol stands for "intersection" and represents the "and" condition. Often the symbol
" is used to represent "given that." P(GH) represents the probability of G given that H has occurred.
Convert the following language to probability notation and find the probabilities associated with randomly selecting a high school student who:
c. Ate a banana and an apple at lunch.
d. Ate a banana or did not eat an apple at lunch.
e. Did not eat a banana and ate an apple at lunch
f Ate a banana given that they ate an apple at lunch.