Two marbles are drawn randomly (without replacement) from a bag containing two green, three yellow, and four red marbles. Find the probability of the event.

Question

Drawing two red marble
step 1 - found it!

STEP 2: Find the number of ways of choosing two marbles.

ways

STEP 3: Find the number of ways of choosing two red marbles.



STEP 4: Find the probability of choosing two red marbles.

Answer 1

following your "steps"

prob(both red) = C(4,2)/C(9,2)
= 6/36
= 1/6

or , straightforward way ....

prob = (4/9)(3/8) = 1/6