1.

One card is drawn from a well-shuffled deck of 52 cards. Find the probability of getting(i) a king of red colour(ii) a face card(iii) a red face card(iv) the jack of hearts(v) a spade(vi) the queen of diamonds​

Answer»

ANSWER:

GIVEN :-

  • One CARD is drawn from a well-shuffled deck of 52 cards
  • Total number of possible outcomes = 52

TO FIND :-

the PROBABILITY of getting

(i) a king of red colour

(ii) a face card

(iii) a red face card

(iv) the jack of hearts

(v) a spade

(vi) the queen of diamonds

FORMULAE :-

  • P(E) = \frac{Number \: of \: favourable \: outcomes}{Total \: number \: of \: outcomes}

SOLUTION :-

(i) Total numbers of king of red colour = 2

P (getting \: a \: king \: of \: red \: colour) = \frac{2}{52} = > \frac{1}{26}

(ii) Total numbers of face cards = 12

P (getting a face card) = \frac{12}{52} = \frac{3}{13}

(iii) Total numbers of red face cards = 6

P (getting \: a \: king \: of \: red \: colour) = \frac{6}{52} = \frac{3}{26}

(iv) Total numbers of jack of hearts = 1

P (getting \: a \: king \: of \: red \: colour) = \frac{1}{52}

(v) Total numbers of king of spade = 13

P (getting \: a \: king \: of \: red \: colour) = \frac{13}{52} = \frac{1}{4}

(vi) Total numbers of queen of diamonds = 1

P (getting \: a \: king \: of \: red \: colour) = \frac{1}{52}


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