Find the probability for the experiment of drawing two marbles (without replacement) from a bag containing four green, six yellow, and five red marbles such that both marbles are yellow.
A) $\frac { 1 } { 7 }$
B) $\frac { 4 } { 25 }$
C) $\frac { 6 } { 35 }$
D) $\frac { 1 } { 3 }$
E) $\frac { 2 } { 3 }$

Question

Quizplus · Accepted Answer

The probability of drawing the first yellow marble is $ \frac{6}{15} $. After drawing one yellow marble, there are 5 yellow marbles left out of a total of 14 marbles. So, the probability of drawing a second yellow marble is $ \frac{5}{14} $. The combined probability is $ \frac{6}{15} \times \frac{5}{14} = \frac{1}{7} $.

Find the Probability for the Experiment of Drawing Two Marbles 17\frac { 1 } { 7 }71​

Find the Probability for the Experiment of Drawing Two Marbles $\frac { 1 } { 7 }$