JEE Mains · Maths · STD 11 - 14. probability
Let \(S\) be the sample space of all five digit numbers.If \(p\) is the probability that a randomly selected number from \(S\), is a multiple of \(7\) but not divisible by \(5\) , then \(9\,p\) is equal to.
- A \(1.0146\)
- B \(1.2085\)
- C \(1.0285\)
- D \(1.1521\)
Answer & Solution
Correct Answer
(C) \(1.0285\)
Step-by-step Solution
Detailed explanation
Sol. \(n ( S )=\) all 5 digit nos \(=9 \times 10^{4}\) \(A :\) no is multiple of \(7\) but not divisible by \(5\) Smallest \(5\) digit divisible by \(7\) is \(10003\) Largest \(5\) digit divisible by \(7\) is \(99995\) \(\therefore 99995=10003+( n -1) 7 \quad n =12857\) Numbers…
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