A deck consists of cards with 7 suits labelled A to G and numbered ranks from 1
ID: 3059169 • Letter: A
Question
A deck consists of cards with 7 suits labelled A to G and numbered ranks from 1 to 8. Each card is equally likely to be drawn. Suits A to C are red. Suits D to G are blue A card is drawn at random from this deck. What is the probability of it being suit A? What is the probability of it being suit A given that it is red? What is the probability of it being suit A given that it is blue? What is the probability of it being suit A given that it has rank 1? What is the probability of it having a rank less than or equal to 2? What is the probability of it having a rank less than or equal to 2 given it has a red suit? What is the probability of it having a rank less than or equal to 2 given it has a rank less than or equal to 4? What is the probability of it having a rank less than or equal to 4 given it has a rank less than or equal to 2? Two cards are drawn at random from this deck (making a list, not a subset, of 2 cards) What is the probability that the second card is blue given that the first card is red? What is the probability that the second card is blue given that the first card is blue? What is the probability that the second card is blue given that the first card has rank 1? Hint: try cases based on the color of the first card.Explanation / Answer
A deck consists of cards with 7 suits labelled A to G and numbered ranks from 1 to 8. Each card is equally likely to be drawn. Suits A to C are red. Suits D to G are blue A card is drawn at random from this deck. What is the probability of it being suit A? What is the probability of it being suit A given that it is red? What is the probability of it being suit A given that it is blue? What is the probability of it being suit A given that it has rank 1? What is the probability of it having a rank less than or equal to 2? What is the probability of it having a rank less than or equal to 2 given it has a red suit? What is the probability of it having a rank less than or equal to 2 given it has a rank less than or equal to 4? What is the probability of it having a rank less than or equal to 4 given it has a rank less than or equal to 2? Two cards are drawn at random from this deck (making a list, not a subset, of 2 cards) What is the probability that the second card is blue given that the first card is red? What is the probability that the second card is blue given that the first card is blue? What is the probability that the second card is blue given that the first card has rank 1? Hint: try cases based on the color of the first card.