SOLUTION: A box contains 5 white and 4 blue marbles. Two marbles are drawn from the box in succession without replacement. What is the probability of getting a white on the second draw given
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Question 1195505: A box contains 5 white and 4 blue marbles. Two marbles are drawn from the box in succession without replacement. What is the probability of getting a white on the second draw given that it is white on the first draw?
Found 2 solutions by ikleyn, math_tutor2020:
Answer by ikleyn(52790) (Show Source): You can put this solution on YOUR website!
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In this problem, we are given that the first draw is a white marble.
It means that after first draw and before the second draw there are 4 white and 4 blue marbles in the box.
Therefore, the probability to draw a white marble at the second draw is = = = 0.5 = 50%. ANSWER
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Solved and carefully/thoroughly explained.
Answer by math_tutor2020(3817) (Show Source): You can put this solution on YOUR website!
"given that it is white on the first draw" is important phrasing. We know 100% that the first marble is white.
Since the marble isn't replaced, we drop to 5-1 = 4 white marbles remaining out of 5+4-1 = 8 total marbles left.
The probability of getting another white marble is 4/8 = 1/2
Answer: 1/2
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