Question

A coin is tossed. If it shows heads, a marble is drawn from box 1, which contains one white and one black marble. If it lands tails, a marble is drawn from box 2, which contains two white and one black marble. Find the probability that you get a white marble given that the coin fell on tails?

1) 1/3
2) 2/3
3) 1/2
4) 3/4

Answer 1

The probability of getting a white marble from box 2, given that the coin falls on tails, is 2/3, as there are two white marbles and one black marble in box 2.

Step-by-step explanation:

To find the probability that you get a white marble given that the coin fell on tails, we only need to consider the contents of box 2, as the coin landing on heads and the contents of box 1 are irrelevant in this scenario. Box 2 contains three marbles, of which two are white and one is black. The probability of drawing a white marble from box 2 is therefore the number of white marbles divided by the total number of marbles in the box.

Probability = (Number of white marbles) / (Total number of marbles) = 2/3.

Thus, the correct answer is 2) 2/3.