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From a pack of 52 a plain cardsfackking, aceof red colour areremovedfrom the remaninng a card isdrawnthe probabilitythat a card israndomfind the probability that the carddrawn is a black queen a red card a ten a picture card |
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Answer» 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
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