Question

There are 100 cards numbered 1 to 100. They are put in a box and shuffled

thoroughly. A card is drawn at random from the box.

Find the probability that the number on the card is:

i. An odd number

ii. Divisible by 2 and 3 both

iii. A number less than 46​

Answer 1

Answer:

case 1 :

• odd number = 1,3,5,....,99
• n = 50

probability = 50/100 = 1/2

case 2 :

• divide by 2 = 2,4,6,...,100 n=50
• divide by 3 = 3,6,9..,99 n=33
• divide by 3 and 2 (6) = 6,12,18,...96 n=16
• 50+33-16 = 67

probability = 67/100 = 0.67

case 3 :

• less than 46 so 1,2,3,45
• n = 45

probablity = 45/100 = 9/20

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