jee-main 2021 Q80

jee-main · India · session1_25feb_shift2 Probability Definitions Probability Involving Algebraic or Number-Theoretic Conditions

Let $A$ be a set of all 4-digit natural numbers whose exactly one digit is 7. Then the probability that a randomly chosen element of $A$ leaves remainder 2 when divided by 5 is:
(1) $\frac { 1 } { 5 }$
(2) $\frac { 122 } { 297 }$
(3) $\frac { 97 } { 297 }$
(4) $\frac { 2 } { 9 }$

Let $A$ be a set of all 4-digit natural numbers whose exactly one digit is 7. Then the probability that a randomly chosen element of $A$ leaves remainder 2 when divided by 5 is:\\
(1) $\frac { 1 } { 5 }$\\
(2) $\frac { 122 } { 297 }$\\
(3) $\frac { 97 } { 297 }$\\
(4) $\frac { 2 } { 9 }$

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