Question

Identical cards are marked 1 to 100. When a card is drawn at random, what is the
probability that it is-
i) a multiple of 11.
ii) a perfect square
iii) a multiple of 2 and 3​

Answer 1

Answer:

see below

Step-by-step explanation:

i) there are 9 multiples of 11 between 1 and 100

so the probability is 9/100 (100 cards because 1 and 100 are inclusive in the number of cards)

ii)there are 10 perfect squares between 1 and 100

so the probability is 10/100 = 1/10

iii)there are 50 multiples of 2 between 1 and 100

there are 33 multiples of 3 between 1 and 100

there are 16 common multiples of 2 and 3 between 1 and 100

so the total number of applicable numbers are = 50 + 33 - 16 = 67 numbers

so the probability is 67/100