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Answer» (I) a king of red colour Number of favourable outcomes i.e. ‘a king of red colour’ is 2 out of 52 cards. Therefore, probability of getting ‘a king of red colour’ P1= Number of favorable outcomes /Total number of possible outcome = 2/52= 1/26 (ii) Total number of face card out of 52 cards = 3 times 4 = 12 p2 = 12/52 = 3/13 (iii) Cards of diamonds and hearts are red cards. Number of face card in diamonds (king, queen and jack or knaves) = 3 Number of face card in hearts (king, queen and jack or knaves) = 3 Therefore, total number of red face card out of 52 cards = 3 + 3 = 6 Therefore, probability of getting ‘a red face card = 6/52 = 3/26 (4)the jack of heartsp4 = 1/52 (5)a spadep5 = 13/52= 1/4 (6)the queen of diamondsp6 = 1/52

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Answer»

(I) a king of red colour

Number of favourable outcomes i.e. ‘a king of red colour’ is 2 out of 52 cards.

Therefore, probability of getting ‘a king of red colour’

P1= Number of favorable outcomes /Total number of possible outcome

= 2/52= 1/26

(ii) Total number of face card out of 52 cards = 3 times 4 = 12

p2 = 12/52 = 3/13

(iii) Cards of diamonds and hearts are red cards.

Number of face card in diamonds (king, queen and jack or knaves) = 3

Number of face card in hearts (king, queen and jack or knaves) = 3

Therefore, total number of red face card out of 52 cards = 3 + 3 = 6

Therefore, probability of getting ‘a red face card = 6/52 = 3/26

(4)the jack of heartsp4 = 1/52

(5)a spadep5 = 13/52= 1/4

(6)the queen of diamondsp6 = 1/52