Match each description with its symbolic representation.
1. p (a)
2. p (a ∩ b)
3. p (a ∪ b)
4. 1 - p (a ∩ b)
5. 1 - p (a ∪ b)
6. p (a | b)

a. the probability that both event a and event b occur
b. the probability that event a occurs given the fact that event b occurs
c. the probability that event a occurs
d. the probability that either event a or event b occurs
e. the probability that both events a and b do not occur together, but either may occur by itself
f. the probability that neither event a or event b occurs

The matches are given below.

Step-by-step explanation:

we have to match each description with its symbolic representation.

1. P(A)               →  c.)The probability that event A occurs.

2. P (A ∩ B)      →  a.)The probability that both event A and event B occur.

3. P (A ∪ B)       →  d.) The probability that either event A or event B occurs

4. 1 - P (A ∩ B)  → e. The probability that both events A and B do not occur     together, but either may occur by itself

5. 1 - P (A ∪ B)   → f. The probability that neither event A or event B occurs

6. P (A | B)           → b.The probability that event A occurs given the fact that event B occurs

step-by-step explanation:

the triangles are similar. therefore the corresponding sides are in proportion:

              cross multiply

            divide both sides by 32

4

step-by-step explanation: