Solution:

The possible outcomes are {2,3,…101}

Number of possible outcomes = 100

(i) Let E be the event of getting the number on the card is an even number.

Outcomes favourable to E are {2,4,6,8…100}

Number of favourable outcomes = 50

P(E) = 50/100 = 1/2

Hence the probability of getting the number on the card is an even number is 1/2.

(ii) Let E be the event of getting the number on the card is a number less than 14.

Outcomes favourable to E are {2,3,4,…13}

Number of favourable outcomes = 12

P(E) = 12/100 = 3/25

Hence the probability of getting the number on the card is a number less than 14 is 3/25.