Total no. of cards = 52
All jacks, queens & kings, aces of red colour are removed.
Total no. of possible outcomes = 52 – 2 – 2 – 2 – 2 = 44 {remaining cards}
(i) E ⟶ event of getting a black queen
No. of favourable outcomes = 2 {queen of spade & club}
Probability, P(E) = (No.of favorable outcomes)/(Total no.of possible outcomes)
P(E) = 2/44 = 1/22
(ii) E ⟶ event of getting a red card
No. of favourable outcomes = 26 – 8 = 18 {total red cards – jacks, queens, kings, aces of red colour}
P(E) = 18/44 = 9/22
(iii) E ⟶ event of getting a black jack
No. of favourable outcomes = 2 {jack of club & spade}
P(E) = 2/44 = 1/22
(iv) E ⟶ event of getting a picture card
No. of favourable outcomes = 6 {2 jacks, 2 kings & 2 queens of black colour}
P(E) = 6/44 = 3/22