A box contains 5 white and 3 black balls. If a ball is drawn and it is black, wh

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

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

Correct Answer: 5/7

Step 1: Start with the total number of balls in the box. There are 5 white balls and 3 black balls.
Step 2: Calculate the total number of balls before drawing any. Total = 5 white + 3 black = 8 balls.
Step 3: A black ball is drawn from the box. Now, we need to update the count of balls left.
Step 4: After drawing one black ball, the number of black balls left is 3 - 1 = 2 black balls.
Step 5: The number of white balls remains the same, which is still 5 white balls.
Step 6: Now, calculate the total number of balls left in the box. Total left = 5 white + 2 black = 7 balls.
Step 7: To find the probability of drawing a white ball next, use the formula: Probability = (Number of favorable outcomes) / (Total outcomes).
Step 8: The number of favorable outcomes (drawing a white ball) is 5, and the total outcomes (total balls left) is 7.
Step 9: Therefore, the probability of drawing a white ball next is 5/7.

Conditional Probability – The probability of an event occurring given that another event has already occurred.
Counting Outcomes – Understanding how to count the remaining outcomes after an event has taken place.