Answer :

Sample Space = Cards marked with 2-digit numbers

= {10,11,12,……..,99)

No. of Sample Space = n(S) = 90

(a) Let P be the event of getting a card marked with 2-digit numbers which is divisible by 10.

∴ favourable elementary events = {10,20,30,…………,90}

no. of favourable elementary events = n(P) = 9

Thus, Probability of getting a card marked with number divisible by 10 = n(P)/n(S) = 9/90 = 1/10

(b) Let P be the event of getting a card marked with 2-digit square numbers.

∴ favourable elementary events = {16,25,36,…….,81}

no. of favourable elementary events = n(P) = 6

Thus, Probability of getting a card marked with number divisible by 10 = n(P)/n(S) = 6/90 = 1/15

(c) Let P be the event of getting a card marked with 2-digit prime numbers less than 25.

∴ favourable elementary events = {11,13,17,19,23}

no. of favourable elementary events = n(P) = 5

Thus, Probability of getting a card marked with number divisible by 10 = n(P)/n(S) = 5/90 = 1/18

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