A number is chosen at random from the numbers -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5. Then the probability that square of this number is less than or equal to 1 is _____________
3/11
Let, S be the sample space.
∴ S = {-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5}
∴ n(S) = 11
And let, A be an event of getting a number whose square is less than or equal to 1.
∴ A = {-1, 0, 1}
∴ n(A) = 3
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Hence, the probability of getting a number whose square is less than or equal to 1 is 3/11.
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