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In a box, there are 5 white and 3 black balls. If a ball is drawn and it is blac
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?
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Practice Questions
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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?
0.625
0.5
0.375
0.25
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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.
Questions & Step-by-step Solutions
1 item
Q
Q: 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?
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.
Steps: 8
Show Steps
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.
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