a bag contains 20 lettered tiles. there are 4 different letters in the bag. a tile is pulled from the bag and replaced 100 times. the results are:
•the letter A is pulled 25 times
•the letter B is pulled 51 times
•the letter C is pulled 15 times
•the letter D is pulled 9 times

based on this information, how many of each lettered tile are most likely in the bag? enter the answer in the boxes



Answer :

Number of letters that are A = 5

Number of letters that are B = 10

Number of letters that are C = 3

Number of letters that are D = 2

How to find the Probability?

We are given;

Total number of Lettered tiles = 20 tiles

Since a letter is replaced whenever it is pulled out, it means that the number of times each letter is pulled out can be used to find the probabilities.

Thus;

Probability of pulling a letter A = 25/100 = 0.25

Probability of pulling a letter B = 51/100 = 0.51

Probability of pulling a letter C = 15/100 = 0.15

Probability of pulling a letter D = 9/100 = 0.09

Thus;

Number of letters that are A = 0.25 * 20 = 5

Number of letters that are B = 0.51 * 20 ≈ 10

Number of letters that are C= 0.15 * 20 = 3

Number of letters that are D = 0.09 * 20 ≈ 2

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