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Three storage bins contain colored blocks. Bin 1 contains 15 red and 14 blue blocks. Bin 2 contains 16 white and 15 blue blocks. Bin 3 contains 15 red and 15 white blocks. All of the blocks from the three bins are placed into one box. If one block is randomly selected from the box, which color block would most likely be picked? Justify your answer.

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SOLUTION

SInce all the coloured blocks are put into one box. We will find the total number of coloured bocks first.

Step 1: Find the total number of coloured blocks and individual coloured blocks

[tex]15+14+16+15+15+15=90[/tex]

Total Number of red blocks.

[tex]15+15=30[/tex]

Total number of blue blocks

[tex]14+15=29[/tex]

Total number of white blocks

[tex]16+15=31[/tex]

Step 2: Find the probability of selecting each colour of block from the one box.

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