Question

An urn contains 6 white and 4 black balls. A fair die is rolled and that number of balls we chosen from the urn. Find the probability that the balls selected are white.

Answer 1

There are 6 white and 4 black balls in the urn. The probability of selecting white balls is 2/3. To find the probability of selecting white balls, we need to consider the total number of outcomes and the number of favorable outcomes.

Step-by-step explanation:

To find the probability of selecting white balls, we need to consider the total number of outcomes and the number of favorable outcomes.

There are a total of 6 white and 4 black balls in the urn. The fair die is rolled, and the number obtained represents the number of balls chosen from the urn.

Since the die is fair, each number has an equal probability of being rolled. So, the probability of rolling a number between 1 and 6 is 1/6 for each number.

To calculate the probability of selecting white balls, we need to consider the numbers 1 to 6 (inclusive) that represent the number of balls chosen. The numbers 1 to 4 (inclusive) represent choosing white balls, so the probability of selecting white balls is 4/6 or 2/3.