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OlympiadBench / 2249 / Three different numbers are chosen at random from the set {1,2,3,4,5}.
Problem
Answer published by the source. Consult the official source to check your work against its answer.
question
Three different numbers are chosen at random from the set .
The numbers are arranged in increasing order.
What is the probability that the resulting sequence is an arithmetic sequence?
(An arithmetic sequence is a sequence in which each term after the first is obtained from the previous term by adding a constant. For example, 3,5,7,9 is an arithmetic sequence with four terms.)
Plain-text mathematical notation (without MathML)
Three different numbers are chosen at random from the set {1,2,3,4,5}.
The numbers are arranged in increasing order.
What is the probability that the resulting sequence is an arithmetic sequence?
(An arithmetic sequence is a sequence in which each term after the first is obtained from the previous term by adding a constant. For example, 3,5,7,9 is an arithmetic sequence with four terms.)Original LaTeX notation
Three different numbers are chosen at random from the set $\{1,2,3,4,5\}$.
The numbers are arranged in increasing order.
What is the probability that the resulting sequence is an arithmetic sequence?
(An arithmetic sequence is a sequence in which each term after the first is obtained from the previous term by adding a constant. For example, 3,5,7,9 is an arithmetic sequence with four terms.)answer type
Numerical
is multiple answer
false
language
English
question type
Open-ended
subject
Math
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