The last half of these (3 points) Suits Ato C are red Suits D to Eare blue. A ca

Question

The last half of these

(3 points) Suits Ato C are red Suits D to Eare blue. A card is drawn at random from this deck What is the probability of it being suit A? 1/5 1/3 What is the probability of it being suit A given that it has rank 1? 1/5 What is the probability of it having a rank less than or equal to 27 10/55 What is the probability of it having a rank less than or equal to 2 given it has a red suit? 6/33 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 9? 2/9 What is the probability of it having a rank less than or equal to 9 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? 1184 What is the probability that the second card is blue given that the first card is red? 11/54 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

last 2 parts are

P(second card blue|first is blue) =P(picking one of remaing 21 cards out of remianing 54 card)= 21/54=7/18

P(second card blue|first is rank 1) =P(first card is rank 1of red and second is blue+first card is rank 1of blue and second is blue) =(33/55)*(22/54)+(22/55)*(21/54)=22/55=2/5

( please rever if help is required in other parts)

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