Question

A box contains 6 red marbles and

4 white marbles. One marble is pulled
from the box and not replaced. Then a
second marble is pulled from the box.
What is the probability both marbles
are white?
J 2
4
L
M
N
10
12
90
16
90
4
100

Answer 1

The probability of pulling two white marbles in succession from a box with 6 red and 4 white marbles, without replacement, is 2/15 or about 13.33%.

Step-by-step explanation:

To calculate the probability that both marbles pulled from the box are white, consider the scenario step-by-step. Initially, there are 6 red marbles and 4 white marbles, for a total of 10 marbles.

The probability of pulling a white marble first is 4 out of 10 (or 2/5).

After pulling one white marble, there are now 3 white marbles and 6 red marbles left, making 9 marbles in total. The probability of pulling a second white marble is then 3 out of 9 (or 1/3).

To get the overall probability of both events occurring, multiply the probabilities: (2/5) * (1/3) = 2/15.

The final probability of pulling two white marbles in succession, without replacement, is 2/15 or approximately 0.1333 (which can also be expressed as 13.33%).