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User GregHNZ
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2 Answers

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Steve put 6 more black counters in the bag.

The probability of selecting a black counter from the bag is given as 3/4.

To find out how many more black counters Steve put in the bag, we can set up an equation using the concept of probability.

Let's assume that Steve initially put 2 white counters and x black counters in the bag.

The total number of counters in the bag would be 2 (white) + x (black) = 2 + x.

The probability of selecting a black counter can be calculated by dividing the number of black counters by the total number of counters in the bag:

x / (2 + x) = 3/4.

To solve this equation, we can cross-multiply:

4x = 3(2 + x).

Expanding the right side of the equation:

4x = 6 + 3x.

Subtracting 3x from both sides:

x = 6.

User Richardpiazza
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8.4k points
4 votes

Answer:

5

Explanation:

  1. Okay so first thing off we need to find denominator, or basically how many counters are there. The color doesn't matter at this one, we know that he had put 2 white 1 black already, that makes 3.
  2. he has chance of 3/4 to pull a black, so only 1/4 of the counters are white and 3/4 are black. He didn't put any more White counters, so that makes there are 2 White counters in total already. If we know that 1/4 Of the counters are white and there are only 2 whites, that would make the number of total counters 2 x 4 portions, it would be 8 portions. or total of 8 counters
  3. Now we know that total number of portions are 8 and we know that 3/4 of 8 is black, we need to make denominators same, 3/4 to 1/8, means multiplying the first side by 2 since 4 x 2 would make 8 or equal to the total counters.

3/4 x 2 both numbers means 6/8. We know that 2/8 is white that would make 6/8 black counters.

Now we know that there are total of 6 black and 2 white counters, and if we know that he had put 1 black before, he had put 5 more blacks to the counter.

so answer is 5.

User UnsignedByte
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