High School

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A bag contains 16 red checkers and 16 black checkers. Anne removes 1 black checker and 2 red checkers from the bag and does not replace them. She then reaches into the bag and selects a checker at random. What is the probability that the checker is red?​

Answer :

Out of 29 checkers remaining, 14 are red. Probability of selecting red checker: [tex]\(14/29\)[/tex].

Step 1: Determine the total number of checkers after Anne removes them.

Initially, there are 16 red checkers and 16 black checkers, making a total of [tex]\(16 + 16 = 32\)[/tex] checkers.

After Anne removes 1 black checker and 2 red checkers, there are [tex]\(32 - 1 - 2 = 29\)[/tex] checkers left in the bag.

Step 2: Determine the number of red checkers left in the bag.

Initially, there are 16 red checkers.

Anne removes 2 red checkers, so there are [tex]\(16 - 2 = 14\)[/tex] red checkers left in the bag.

Step 3: Calculate the probability of selecting a red checker.

The probability of selecting a red checker is the number of red checkers left divided by the total number of checkers left:

[tex]\[ \text{Probability} = \frac{\text{Number of red checkers left}}{\text{Total number of checkers left}} \]\[ \text{Probability} = \frac{14}{29} \][/tex]

So, the probability that the checker selected is red is [tex]\( \frac{14}{29} \).[/tex]

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