math 2: probability

Question 1

(let E be an event, ~E be the set of outcomes that are not in E, and P(E) represent the probability of E) 0≤

Answer 1

P(E)≤1

Question 2

(let E be an event, ~E be the set of outcomes that are not in E, and P(E) represent the probability of E) P(~E) =

Answer 2

1 - P(E)

Question 3

If P(E) = 0, E is called the

Answer 3

impossible event

Question 4

If P (E) = 1, E is called the

Answer 4

certain event

Question 5

P (A ∪ B) is the probability of either …. occurring, where A ∪ B is called the … of a and B

Answer 5

A or B; disjunction

Question 6

P(A | B) is the probability of …. this is called … probability

Answer 6

A occurring, given that B has occurred; conditional

Question 7

P(A ∩ B) is the probability of …. occurring, where A ∩ B is called the … of A and B

Answer 7

both A and b; conjunction

Question 8

if two events have no outcomes in common, they are

Answer 8

mutually exclusive

Question 9

mutually exclusive, P (A ∪ B) =

Answer 9

P(A) + P(B)

Question 10

if two events have outcomes in common, the general formula P (A ∪ B) =

Answer 10

P(A) + P(B) - P (A ∩ B)

Question 11

P(A | B) =

Answer 11

P (A ∩ B) / P(B)

Question 12

P (A ∩ B) =

Answer 12

P(B) P(A | B)

Question 13

if A and b are independent events, P (A ∩ B) =

Answer 13

P(B) . P(A)