(v) Let E be the event of getting the number on the card is divisible by 3 or 2

Outcomes favourable to E are {2,3,4,6,8,9,10,12,14,15}

Number of favourable outcomes = 10

P(E) = 10/15 = 2/3

Hence the probability of getting the number on the card is divisible by 3 or 2 is 2/3.

(vi) Let E be the event of getting the number on the card is a perfect square.

Outcomes favourable to E are {1,4,9}

Number of favourable outcomes = 3

P(E) = 3/15 = 1/5

Hence the probability of getting the number on the card is a perfect square is 1/5.