Question

Suppose a jar contains 6 yellow marbles and 13 green marbles. If you reach in the jar and randomly pull out 2 marbles successively (without replacement), find the probability that both are green.

Give your answer as a fraction, or round your answer to 3 places after the decimal point, if necessary.

Answer 1

Probability that both the marbles are green:

in first turn number of green marble is 13 and total number of marbles are = 13+6 = 19

first turn the probability of picking green marble is =13/19

Since we are picking successively without any replacement that means once a marble is taken out it isn't put back

after first turn remaining green marbles = 12, and remaining total marbles = 12+6 = 18

thus probability of picking green marble in secon turn = 12/18

Since both turns are independent

Thus probability that both are green balls = P(2 greens):

Answer : P(2 green) = 0.456

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