Question

Use the following information to answer the next 6 exercises.

The sample space S consists of the whole numbers starting at one and less than 17.

Let event A = the odd numbers and event B = numbers greater than 11.

P(A) =

Select one:

a. .53

b. .5

c. .47

P(B)=

Select one:

a. .31

b. .38

c. .35

d. .41

P(A and B) =

Select one:

a. .69

b. .18

c. .13

P(A or B) =

Select one:

a. .71

b. .69

c. .13

P(A|B) =

Select one:

a. .5

b. .25

c. .40

P(B|A) =

Select one:

a. .67

b. .25

c. .40

Answer 1

Total sample space = 1 to 16 = 16

A) total odd numbers = 8

P(A) = 8/16 = 0.5

Option-B) 0.5

B) Total numbers greater than 11 = 5

P(B) = 5/16 = 0.3125

Option-A) 0.31

C) total odd numbers greater than 11 = 2

P(A and B) = 2/16 = 0.125

Option-C) 0.13

D) P(A or B) = P(A) + P(B) - P(A and B) = 0.5 + 0.3125 - 0.125 = 0.6875

Option-B) 0.69

E) P(A | B) = P(A and B) / P(B) = 0.125 / 0.3125 = 0.4

Option-C) 0.4

F) P(B | A) = P(A and B) / P(A) = 0.125 / 0.5 = 0.25

Option-B) 0.25