A box contains 4 white and 6 black balls. If one ball is drawn at random, what i

A box contains 4 white and 6 black balls. If one ball is drawn at random, what is the probability that it is white given that it is not black?

A box contains 4 white and 6 black balls. If one ball is drawn at random, what is the probability that it is white given that it is not black?

Correct Answer: 1

Step 1: Understand the problem. We have a box with 4 white balls and 6 black balls.
Step 2: Identify the total number of balls. There are 4 white + 6 black = 10 balls in total.
Step 3: Focus on the condition given in the question. We need to find the probability of drawing a white ball given that the ball drawn is not black.
Step 4: If the ball is not black, it can only be white because there are no other colors.
Step 5: Since the only option left (not black) is white, the probability of drawing a white ball in this case is 1.

Conditional Probability – The probability of an event occurring given that another event has already occurred.
Total Probability – Understanding the total number of outcomes and how they relate to the event of interest.