Probability with a Modified Deck of Cards

Probability with a Modified Deck of Cards

Secondary 2

There are 35 cards in a deck of which 8 are picture cards and 27 are number cards. Each card has a suit of either a spade or a heart. There is a total of 19 cards with the suit of spade, 12 of which are number cards.

A card is chosen at random from the deck, find the probability of choosing

  1. a picture card,
  2. a number card with a suit of spade,
  3. a picture card with a suit of heart,
  4. a picture card or a card with a suit of heart.

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Answer:(i) \(\frac8{35}\) (ii) \(\frac{12}{35}\) (iii) \(\frac1{35}\) (iv) \(\frac{23}{35}\)

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