A box contains 5 white and 3 black balls. If one ball is drawn and it is black, what is the probability that the next ball drawn is white?

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Q: A box contains 5 white and 3 black balls. If one ball is drawn and it is black, what is the probability that the next ball drawn is white?

Solution: After drawing a black ball, there are 5 white and 2 black balls left. The probability of drawing a white ball next is 5/7.

Steps: 7

Step 1: Start with the total number of balls in the box. There are 5 white balls and 3 black balls, making a total of 8 balls.
Step 2: One ball is drawn and it is black. This means we have removed 1 black ball from the box.
Step 3: After removing the black ball, count the remaining balls. There are still 5 white balls and now only 2 black balls left.
Step 4: Now, calculate the total number of balls left in the box. There are 5 white + 2 black = 7 balls remaining.
Step 5: To find the probability of drawing a white ball next, use the formula: Probability = (Number of favorable outcomes) / (Total number of outcomes).
Step 6: The number of favorable outcomes (drawing a white ball) is 5, and the total number of outcomes (total balls left) is 7.
Step 7: Therefore, the probability of drawing a white ball next is 5/7.