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In a game, 80 marbles numbered 00 through 79 are placed in a box. A player draws 1 marble at random from the box. Without replacing the first marble, the player draws a second marble at random. If both marbles drawn have the same ones digit (that is, both marbles have a number ending in 0, 1, 2, 3, etc.), the player is a winner.
If the first marble drawn is numbered 35, what is the probability that the player will be a winner on the next draw?
  • a)
    1/79
  • b)
    7/80
  • c)
    7/79
  • d)
    1/10
  • e)
    8/79
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
In a game, 80 marbles numbered 00 through 79 are placed in a box. A pl...
Probability of winning after drawing marble numbered 35
First, let's determine the number of marbles that have the same ones digit as 35. Since the ones digit of 35 is 5, the marbles with the same ones digit are 5, 15, 25, 35, 45, 55, 65, and 75.

Total possible marbles left in the box
Since one marble (numbered 35) has already been drawn, there are 79 marbles left in the box.

Calculating the probability of winning
Out of the remaining 79 marbles in the box, there are 8 marbles (with numbers ending in 5) that will make the player a winner on the next draw.
Therefore, the probability of winning on the next draw after drawing marble numbered 35 is 8/79.
Therefore, the correct answer is option 'c) 7/79'.
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Community Answer
In a game, 80 marbles numbered 00 through 79 are placed in a box. A pl...
Of the 80 marbles, only 8 end in 5. If the first marble is drawn and not replaced, there are 79 marbles left, 7 of which have a ones digit of 5. Thus the probability that the player will be a winner is 7/79.
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In a game, 80 marbles numbered 00 through 79 are placed in a box. A player draws 1 marble at random from the box. Without replacing the first marble, the player draws a second marble at random. If both marbles drawn have the same ones digit (that is, both marbles have a number ending in 0, 1, 2, 3, etc.), the player is a winner.If the first marble drawn is numbered 35, what is the probability that the player will be a winner on the next draw?a)1/79b)7/80c)7/79d)1/10e)8/79Correct answer is option 'C'. Can you explain this answer?
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In a game, 80 marbles numbered 00 through 79 are placed in a box. A player draws 1 marble at random from the box. Without replacing the first marble, the player draws a second marble at random. If both marbles drawn have the same ones digit (that is, both marbles have a number ending in 0, 1, 2, 3, etc.), the player is a winner.If the first marble drawn is numbered 35, what is the probability that the player will be a winner on the next draw?a)1/79b)7/80c)7/79d)1/10e)8/79Correct answer is option 'C'. Can you explain this answer? for ACT 2025 is part of ACT preparation. The Question and answers have been prepared according to the ACT exam syllabus. Information about In a game, 80 marbles numbered 00 through 79 are placed in a box. A player draws 1 marble at random from the box. Without replacing the first marble, the player draws a second marble at random. If both marbles drawn have the same ones digit (that is, both marbles have a number ending in 0, 1, 2, 3, etc.), the player is a winner.If the first marble drawn is numbered 35, what is the probability that the player will be a winner on the next draw?a)1/79b)7/80c)7/79d)1/10e)8/79Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for ACT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a game, 80 marbles numbered 00 through 79 are placed in a box. A player draws 1 marble at random from the box. Without replacing the first marble, the player draws a second marble at random. If both marbles drawn have the same ones digit (that is, both marbles have a number ending in 0, 1, 2, 3, etc.), the player is a winner.If the first marble drawn is numbered 35, what is the probability that the player will be a winner on the next draw?a)1/79b)7/80c)7/79d)1/10e)8/79Correct answer is option 'C'. Can you explain this answer?.
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