Question

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

Answer 1

The matches are given below.

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

Answer 2

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