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Probability - JEE Mathematics question (JEE Main 2019 (Online) 12th January Evening Shift)

JEE Main 2019 (Online) 12th January Evening ShiftQuestion 1
In a class of $60$ students, $40$ opted for NCC, $30$ opted for NSS and $20$ opted for both NCC and NSS. If one of these students is selected at random, then the probability that the student selected has opted neither for NCC nor for NSS is :
Probability
Options for question 1, choose one

Solution

$n(\text{NCC}\cup\text{NSS})=40+30-20=50$, so neither: $\frac{10}{60}=\frac16$.

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