jee-main 2022 Q70

jee-main · India · session1_29jun_shift1 Probability Definitions Finite Equally-Likely Probability Computation
The probability that a randomly chosen $2 \times 2$ matrix with all the entries from the set of first 10 primes, is singular, is equal to
(1) $\frac { 133 } { 10 ^ { 4 } }$
(2) $\frac { 19 } { 10 ^ { 3 } }$
(3) $\frac { 18 } { 10 ^ { 3 } }$
(4) $\frac { 271 } { 10 ^ { 4 } }$
The probability that a randomly chosen $2 \times 2$ matrix with all the entries from the set of first 10 primes, is singular, is equal to\\
(1) $\frac { 133 } { 10 ^ { 4 } }$\\
(2) $\frac { 19 } { 10 ^ { 3 } }$\\
(3) $\frac { 18 } { 10 ^ { 3 } }$\\
(4) $\frac { 271 } { 10 ^ { 4 } }$