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In a box, there are 5 white and 3 black balls. If a ball is drawn and it is blac

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Question: In a box, there are 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?

Options:

  1. 0.625
  2. 0.5
  3. 0.375
  4. 0.25

Correct Answer: 0.625

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/(5+2) = 5/7 ≈ 0.625.

In a box, there are 5 white and 3 black balls. If a ball is drawn and it is blac

Practice Questions

Q1
In a box, there are 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?
  1. 0.625
  2. 0.5
  3. 0.375
  4. 0.25

Questions & Step-by-Step Solutions

In a box, there are 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?
  • 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 have 2 black balls left.
  • Step 4: After drawing a black ball, the number of white balls remains the same, which is still 5.
  • Step 5: Now, calculate the total number of balls left in the box. Total left = 5 (white) + 2 (black) = 7 balls.
  • Step 6: To find the probability of drawing a white ball next, use the formula: Probability = (Number of white balls) / (Total number of balls left).
  • Step 7: Substitute the numbers: Probability = 5 (white) / 7 (total) = 5/7.
  • Step 8: The probability of drawing a white ball next is approximately 0.625.
  • 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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