Total no. of outcomes = 52 {52 cards}

**(i) E⟶ event of getting a black king**

No of favourable outcomes = 2{king of spades & king of clubs}

We know that, P(E) = (No. of favorable outcomes)/(Total no.of possible outcomes) = 2/52 = 1/26

**(ii) E⟶ event of getting either a black card or a king.**

No. of favourable outcomes = 26 + 2 {13 spades, 13 clubs, king of hearts & diamonds}

P(E) = (26+2)/52 = 28/52 = 7/13

**(iii) E⟶ event of getting black & a king.**

No. of favourable outcomes = 2 {king of spades & clubs}

P(E) = 2/52 = 1/26

**(iv) E⟶ event of getting a jack, queen or a king**

No. of favourable outcomes = 4 + 4 + 4 = 12 {4 jacks, 4 queens & 4 kings}

P(E) = 12/52=3/13

**(v) E⟶ event of getting neither a heart nor a king.**

No. of favourable outcomes = 52 – 13 – 3 = 36 {since we have 13 hearts, 3 kings each of spades, clubs & diamonds}

P(E) = 36/52 = 9/13

**(vi) E⟶ event of getting spade or an all.**

No. of favourable outcomes = 13 + 3 = 16 {13 spades & 3 aces each of hearts, diamonds & clubs}

P(E) = 16/52 = 4/13

**(vii) E⟶ event of getting neither an ace nor a king.**

No. of favourable outcomes = 52 – 4 – 4 = 44 {Since we have 4 aces & 4 kings}

P(E) = 44/52 = 11/13

**(viii) E⟶ event of getting neither a red card nor a queen.**

No. of favourable outcomes = 52 – 26 – 2 = 24 {Since we have 26 red cards of hearts & diamonds & 2 queens each of heart & diamond}

P(E) = 24/52 = 6/13

**(ix) E⟶ event of getting card other than an ace.**

No. of favourable outcomes = 52 – 4 = 48 {Since we have 4 ace cards}

P(E) = 48/52 = 12/13

**(x) E⟶ event of getting a ten.**

No. of favourable outcomes = 4 {10 of spades, clubs, diamonds & hearts}

P(E) = 4/52=1/13

**(xi) E⟶ event of getting a spade.**

No. of favourable outcomes = 13 {13 spades}

P(E) = 13/52 = 1/24

**(xii) E⟶ event of getting a black card.**

No. of favourable outcomes = 26 {13 cards of spades & 13 cards of clubs}

P(E) = 26/52=1/2

**(xiii) E⟶ event of getting 7 of clubs.**

No. of favourable outcomes = 1 {7 of clubs}

P(E) = 1/52

**(xiv) E⟶ event of getting a jack.**

No. of favourable outcomes = 4 {4 jack cards}

P(E) = 4/52=1/13

**(xv) E⟶ event of getting the ace of spades.**

No. of favourable outcomes = 1{ace of spades}

P(E) = 1/52

**(xvi) E⟶ event of getting a queen.**

No. of favourable outcomes = 4 {4 queens}

P(E) = 4/52 = 1/13

**(xvii) E⟶ event of getting a heart.**

No. of favourable outcomes = 13 {13 hearts}

P(E) = 13/52 = 1/4

**(xviii) E⟶ event of getting a red card.**

No. of favourable outcomes = 26 {13 hearts, 13 diamonds}

P(E) = 26/52 = 1/2