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Question
A number x is chosen at random from the numbers −3, −2, −1, 0, 1, 2, 3 the probability that | x | < 2 is
Options
\[\frac{5}{7}\]
\[\frac{2}{7}\]
\[\frac{3}{7}\]
\[\frac{1}{7}\]
Solution
A number x is chosen from the numbers −3, −2, −1, 0, 1, 2 and 3
TO FIND: Probability of getting` |x|<2`
Total numbers are 7
Number x such that ` |x|<2` are −1, 0, 1
Total numbers x such` |x|<2` are 3
`"We know that PROBABILITY" = "Number of favourable event" /"Total number of event"`
Hence the probability of getting a number x such that` |x|<2`is equal to `3/7`
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