20 cards are numbered from 1 tro 20. One card is drawn at random. What is the probability that the nnumbe on the cards ids: (i) a multiple of 4 ? (ii) not a multiple of 4? (iii) Odd? (iv) greater than 12? (v) divisible by 5? (vi) not a multiple of 6?

Explanation

We have 20 cards numbered from 1 to 20, one card is drawn at random

`∴n(s)=""^20(C_1)=20`

(i) Let E be the event that the number on the drawn cards is multiple of 4

`∴E={4,8,12,16,20}`

∴n(E)=5

∴P(E)=`5/(20)=1/4`

(ii) Let E be the event that the number on the drawn card is not the multiple of 4

∴P(E')=1−P(E)

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