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In a box there are 8 blue and 5 yellow markers. If 6 markers are selected at random and their colors are noted, find the probability that exactly 2 blue are selected.

User Will Ayd
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1 Answer

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Final answer:

To find the probability of exactly 2 blue markers being selected, we use combinations to calculate the number of favorable outcomes and the total number of possible outcomes. The probability is 1/61.

Step-by-step explanation:

To find the probability that exactly 2 blue markers are selected, we need to determine the total number of possible outcomes and the number of favorable outcomes.

Total number of markers = 8 blue + 5 yellow = 13 markers

Total number of ways to select 6 markers from 13 = 13C6 = 1716

Number of favorable outcomes:

Choose 2 blue markers from 8 blue markers = 8C2 = 28

Choose 4 markers from 5 yellow markers = 5C4 = 5

Therefore, the probability of exactly 2 blue markers being selected is 28/1716 = 1/61.

User Humberto Pinheiro
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