A box contains 4 white and 6 black balls. If one ball is drawn and it is black, what is the probability that the next ball drawn is also black?

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Q: A box contains 4 white and 6 black balls. If one ball is drawn and it is black, what is the probability that the next ball drawn is also black?

Solution: After drawing one black ball, there are 5 black and 4 white balls left. The probability of drawing another black ball is 5/9.

Steps: 6

Step 1: Start with the total number of balls in the box. There are 4 white balls and 6 black balls, making a total of 10 balls.
Step 2: When one black ball is drawn, we remove it from the box. Now, we have 5 black balls left.
Step 3: The number of white balls remains the same, which is still 4.
Step 4: Now, calculate the new total number of balls left in the box. It is 5 black + 4 white = 9 balls.
Step 5: To find the probability of drawing another black ball, we take the number of black balls left (5) and divide it by the total number of balls left (9).
Step 6: The probability of drawing another black ball is 5/9.