JEE Mains · Maths · STD 11 - 14. probability
If an unbiased die, marked with \(-2,-1,0,1,2,3\) on its faces, is through five times, then the probability that the product of the outcomes is positive, is :
- A \(\frac{881}{2592}\)
- B \(\frac{521}{2592}\)
- C \(\frac{440}{2592}\)
- D \(\frac{27}{288}\)
Answer & Solution
Correct Answer
(B) \(\frac{521}{2592}\)
Step-by-step Solution
Detailed explanation
Either all outcomes are positive or any two are negative. \(\text { Now, } p = P \text { (positive) }=\frac{3}{6}=\frac{1}{2}\) \(q = p \text { (negative })=\frac{2}{6}=\frac{1}{3}\) Required probability…
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