Question

A bag has 4 red marbles, 5 white marbles, and 6 blue marbles. three marbles are drawn from the bag (without replacement). what is the probability that they are all the same color?

Answer 1

The probability that the three marbles drawn are all the same color is 64/3375.

Step-by-step explanation:

To find the probability that all three marbles drawn are the same color, we need to consider two cases:

1. The probability of drawing three red marbles
2. The probability of drawing three white marbles

For the first case, the probability of drawing one red marble from the bag is 4/15. After replacing the marble, the probability of drawing another red marble is still 4/15. So, the probability of drawing three red marbles is (4/15) * (4/15) * (4/15).

For the second case, the probability of drawing one white marble from the bag is 5/15. After replacing the marble, the probability of drawing another white marble is still 5/15. So, the probability of drawing three white marbles is (5/15) * (5/15) * (5/15).

Adding the probabilities of the two cases, we get (4/15) * (4/15) * (4/15) + (5/15) * (5/15) * (5/15), which simplifies to 64/3375.

Answer 2

it was 1/3 because all colour could be same