Solution:

The possible outcomes are {1,2,3,4…15}

Number of possible outcomes = 15

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

Outcomes favourable to E are {1,3,5,7,9,11,13,15}

Number of favourable outcomes = 8

P(E) = 8/15

Hence the probability of getting the number on the card is an odd number is 8/15.

(ii) Let E be the event of getting the number on the card is prime.

Outcomes favourable to E are {2,3,5,7,11,13}

Number of favourable outcomes = 6

P(E) = 6/15 = 2/5

Hence the probability of getting the number on the card is an prime number is 2/5.