One card is drawn from a pack of 52 cards; each of the 52 cards being equally likely to be drawn. Find the probability that the card drawn is: (i) an ace (ii) red (iii) either red or king (iv) red and a king (v) a face card (vi) a red face card (vii) '7' of spades (viii)'10' of a black suit

Explanation

(a)`n(S) = 52`
`n(Ace) = 4`
`P(Ace) = 4/52 = 1/13`

(b) `n(Red) = 26`
`P(Red) = 26/52 = 1/2`

(c) `n(red) = 26`
`n(King) = 2`
`P(red or king) = 26+2/52 = 28/52 = 19/26`

(d) `n(red king) = 2`
`P(red king) = 2/52 = 1/26`

(e) `n(Face) = 12`
`P(Face) = 12/52 = 3/13`

(f) `n(red face) = 6`
`P(red face) = 6/52 = 3/26`

(g) `n(2 of spades) = 1`
`P(2 of spades) = 1/52`

(h)`n(10 of black) = 2`
`P(10 of black) = 2/52 = 1/26`