When a non-negative single digit integer is randomly chosen and added to the set {1, 4, 6, 9}, what is the probability that the median of the new set will rise while the range remains unchanged?

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0.1

0.2

0.3

0.4

Correct

0.5

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Official Explanation

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We are selecting from non-negative single digit integers, which are {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}. This gives us a total of 10 possible outcomes. We need to determine the probability that the median of the set will increase while the range stays the same. The median of {1, 4, 6, 9} is calculated as (4 + 6)/2 = 5. Therefore, the number chosen must…

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MahbubMar 21, 2024

Can you explain more?

What this question tests

What it tests

Your ability to compute probabilities of single and compound events, including 'at least one' questions.

Common trap

Forgetting to use the complement for 'at least one', or treating dependent events as independent.