Question

A box contains 19 large marbles and 11 small marbles. each marble is either green or white. 5 of the large marbles are green, and 6 of the small marbles are white. if a marble is randomly selected from the box, what is the probability that it is large or green? express your answer as a fraction or a decimal number rounded to four decimal places.

Answer 1

Answer:

Probability of getting a large or green marble is 4/5.

Step-by-step explanation:

Given:

Number of large marbles = 19

Number of small marbles = 11

Number of Green large marble = 5

Number of  white small marble = 6

To find: probability of selecting a large or green marble.

Total number of marbles in box = 19 + 11 = 30

Number of white large marble = 19 - 5 = 14

Number of green small marble = 11 - 6 = 5

Number of total green marble = 5 + 5 = 10

$Probability=\frac{Number\:of\:favorable\:outcome}{Total\:number\:of\:outcome}$

Probability (large or green) = P(large) + P(green) - P(both)

                                             $=\frac{19}{30}+\frac{10}{30}-\frac{5}{30}$

                                             $=\frac{19+10-5}{30}$

                                             $=\frac{24}{30}$

                                             $=\frac{4}{5}$

Therefore, Probability of getting a large or green marble is 4/5.