Mathematics
Number x is chosen from -3, -2, -1, 0, 1, 2 and 3. Also, x2 ≤ 5.
Assertion(A): Probability for x2 ≤ 5 is .
Reason(R): Probability = .
A is true, R is false.
A is false, R is true.
Both A and R are true and R is correct reason for A.
Both A and R are true and R is incorrect reason for A.
Probability
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Answer
Number x is chosen form -3, -2, -1, 0, 1, 2 and 3. Also, x2 ≤ 5.
We need to find the values of x for which x2 ≤ 5.
(-3)2 = 9 (not favourable)
(-2)2 = 4 (favourable)
(-1)2 = 1 (favourable)
02 = 0 (favourable)
12 = 1 (favourable)
22 = 4 (favourable)
32 = 9 (not favourable)
The favorable outcomes are -2, -1, 0, 1, 2 in total 5 favourable outcomes.
By formula; the probability for x2 ≤ 5 = .
∴ A is false, R is true.
Hence, option 2 is the correct option.
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