from a pack of 52 a plain cards
fack
king, ace
of red colour are
removed
from the remaninng a card is
drawn
the probability
that a card is
random
find the probability that
the card
drawn
is a black queen
a red card
a ten
a picture card
Answers
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