Question

Nine cards (identical in all respects) are
numbered 2 to 10. A card is selected from them
at random. Find the probability that the card
selected will be :
(i) an even number.
(ii) a multiple of 3.
(iii) an even number and a multiple of 3.
(iv) an even number or a multiple of 3.

Answer 1

Step-by-step explanation:

(i) the even numbers are 2,4,6,8,10

n(E1)=5

the probability =5/9

(iil the multiples of three are 3,6,9

n(E2)=3

the probability =3/9=1/3

(iii) the even and multiple of three is 6

n(E3)=1

the probability =1/9

(iv) the numbers which are not multiple of three and even numbers are 1,5,7

the probability 1-3/9=1-1/3=2/3

so probability is 2/3