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

The total number of marbles
=19+11
=30

The number of small green marbles
=11-6
=5

(we don't need to caculate the total number of green marbles here because it doesn't matter whether the large marbles are green or not)

The probability of marble selected is large or green
=19+5/30
=24/30
=12/15

hope it helps ^^

Answer 2

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.