12 Three cards are drawn without replacement. Suppose the firstcard drawn is the

Question

12

Three cards are drawn without replacement. Suppose the firstcard drawn is the Ace of Spades. Answer the following:

a) What is the probability that the second card drawn isan Ace?

b) Given that the second card an Ace, from part (a), what is theprobability that and the third card is another spade?

12

Three cards are drawn without replacement. Suppose the firstcard drawn is the Ace of Spades. Answer the following:

a) What is the probability that the second card drawn isan Ace?

b) Given that the second card an Ace, from part (a), what is theprobability that and the third card is another spade?

Explanation / Answer

Here we are conducting experiment without replecement. We are drawing 3 cards from the deck. Probability of first card drawn is the Ace of Spade is1/52. a) What is the probability that the second card drawn is anAce? one ace already came from the first draw and we haveremeaning 3 ace cards. Total number of cards in a deck is 51 because one card alreadytaken. probability that the second card drawn is an Ace= 3/51. b) Given that the second card an Ace, from part (a), what isthe probability that and the third card is anotherspade?    Total number of card in deck 50. And also we have 12 spade cards because one card is alreadytaken in first draw. probability that and the third card is anotherspade=12/50   

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