Question

The table below shows the number of marbles of different colors in a bag:

Marble Experiment

Color of
Marbles Number of
Marbles
Red
5
White
8
Black
2


Deja draws a marble from the bag randomly without looking. She then draws another marble from the bag without replacing the first one. Which expression shows the probability of drawing red marbles in both the trials? (5 points)


5 over 15 multiplied by 4 over 14

5 over 15 multiplied by 4 over 15

5 over 15 added to 4 over 14

5 over 15 added to 4 over 15

Answer 1

Sample Space ={5 Red, 8White, 2 Blacks} = 15 possible outcomes.

Favorable outcomes={5 Red}

1) P(drawing 1st Red) = 5/15
2) P(drawing ANOTHER RED) = 4/14 (because one Red already drawn and NOT replaced, so the remaining Red are now 4 and the new sample space is now 14, since 1 red already drawn), Hence
P( 1 Red AND another Red) = (5/15).(4/15) or:
"5 over 15 multiplied by 4 over 14"

Answer 2

5 over 15 multiplied by 4 over 14 is the best answer