JEE MAIN - Mathematics (2019 - 12th January Evening Slot - No. 16)

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 students selected has opted neither for NCC nor for NSS is :
$${1 \over 3}$$
$${1 \over 6}$$
$${2 \over 3}$$
$${5 \over 6}$$

Explanation

JEE Main 2019 (Online) 12th January Evening Slot Mathematics - Probability Question 158 English Explanation
A $$ \to $$ opted NCC

B $$ \to $$ opted NSS

$$ \therefore $$  P (nither A nor B) $$=$$ $${{10} \over {60}} = z{1 \over 6}$$

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