A box contains 1414 large marbles and 1111 small marbles. Each marble is either green or white. 66 of the large marbles are green, and 44 of the small marbles are white. If a marble is randomly selected from the box, what is the probability that it is small or white? Express your answer as a fraction or a decimal number rounded to four decimal places.

0.9739

Step-by-step explanation:

We have 1111+1414=2525 marbles, and

44 small white matbles and

1414-66=1348 big white marbles.

So we have 44+1348=1392 white marbles.

The probability to choose small marbles is P (s) = 1111/2525=0,44

The probability to choose white marbles is:

P (w) = 1348/2525=0,5513.

The probability to choose small and white is:

P (s and w) = 44/2525=0,0174

The probability to choose small or white is:

P (s or w) = P (s) + P (w) - P (s and w) = 0,44+0,5513-0.0174=0,9739