Question

A box contains cards bearing numbers from6 to 70. If one card is drawn at random from the box, find the probability that it bears (i) a one digit number (ii) a number divisible by 5 (iii) an odd number less than 30 (iv) a composite number between 50 and 70

Answer 1

Total cards = 65

(i) Probability that it has one digit number
Possible options = {6,7,8,9} = 4
Probability = 4/65

(ii) Probability that it has a number divisible by 5
Possible options ={10,15,20,25,30,35,40,45,50,55,60,65,70}
Probability= 13/65 = 1/5

(iii) Probability that it has an odd number less than 30
Possible options = {7,9,11,13,15,17,19,21,23,25,27,29}
Probability= 12/65

(iv)Probability that it has a composite number between 50 and 70
Possible options = {51,52,54,55,56,58,60,62,63,64,65,66,68,69}
Probability= 14/65

Answer 2

1.4/65

2.13/65

3.30/65

4.14/65

Hope it helps u