Bunuel
A jar is filled with blue and green marbles. What is the probability that two green marbles are drawn in a row, without replacement?
(1) There are 36 blue marbles in the jar.
(2) The probability of choosing a green marble on the first try is 1/4.
To find the probability of drawing 2 green marbles without replacement, we need to know the total number of marbles and the total number of green or Blue marbles.
Statement 1:There are 36 blue marbles in the jar.
From this statement, we cannot know the number of green or blue marbles.
Therefore Statement 1 Alone is Insufficient. Answer options could be B, C or E.
Statement 2: The probability of choosing a green marble on the first try is 1/4.
From this statement alone, we cannot know the total number of marbles or the green marbles.
Therefore Statement 2 Alone is Insufficient. Answer options could be B, C or E.
Combining Both Statements:Let the number of green Marbles = G
Then G / 36 = 1/4. Therefore G = 9
With this we can calculate the required probability = 9/36 * 8/35 = 2/35
Therefore Both Statements together are Sufficient.
Option CArun Kumar