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A box contains 4 white and 6 black balls. If one ball is drawn and it is black,

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Question: 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?

Options:

  1. 1/2
  2. 1/3
  3. 1/5
  4. 2/5

Correct Answer: 2/5

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.

A box contains 4 white and 6 black balls. If one ball is drawn and it is black,

Practice Questions

Q1
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?
  1. 1/2
  2. 1/3
  3. 1/5
  4. 2/5

Questions & Step-by-Step Solutions

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?
  • 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.
  • 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.
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