Question

Angel has 8 DVD movies on a shelf, 2 dramas,5 sicence fiction movies, and 1 comedy. Two movies will be selected at random. Determine the probabilty of each situatuin below.

A) The probablity of selecting at least one drama movie without replacement

B)The probability of selecting at least one drama movie with replacement

Answer 1

A) Pd = 13/28

B) Pd = 7/16

Explanation:

Given;

Drama = 2

Comedy = 1

Science fiction = 5

Total = 8

a) The probability of selectingat least one drama movie Pd;

Pd = 1 - Pd'

Without replacement;

Probability of not selecting a drama movie Pd' is;

Pd' = 6/8 × 5/7 = 15/28

Pd = 1 - 15/28

Pd = 13/28

b) with replacement;

Probability of not selecting a drama movie Pd' is;

Pd' = 6/8 × 6/8 = 9/16

Pd = 1 - 9/16

Pd = 7/16