Question

A box contains 20 cards, numbered from 1 to 20. A card is drawn from the box at random. Find the probability that the number on the card drawn is (i) even (ii) prime and (iii) multiple of 3

Answer 1

Answer:

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A box contains 20 cards 1 - 20 numbers .

even numbers = 2 , 4 , 6 , 8 , 10 12 , 14 , 16 , 18 , 20

total outcomes = 10

P ( even ) = 10 / 20

= 1 / 2

prime numberz :

2 , 3 , 5 , 7 , 11 , 13 , 17 , 19

total outcomes = 8

P ( prime number ) = 8 / 20

= 4 / 10

= 2 / 5

multiples of 3 :

3 , 6, 9 , 12 , 15 , 18

total outcomes = 6

P ( multipleof 3 ) = 6 / 20

= 3 / 10

Answer 2

Answer:

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Box contains :

20 cards from 1 - 20

1)

even numbers = 2,4,6,8 ,10,12,14,16,18,20

total outcomes = 10

P( even ) = 10 / 20

= 1 / 2

2)

prime numbers = 2,3,5,7,11,13,17,19

total numbers = 8

P ( prime number ) = 8 / 20

= 4 / 10

= 2 / 5

3)

multiple of 3 = 3 ,6,9,12,15,18

total outcomes = 6

P ( multiple of 3 ) = 6 / 20

= 3 / 10