a) Consider a regular deck of playing cards and the two events \"card drown is a
ID: 2931138 • Letter: A
Question
a) Consider a regular deck of playing cards and the two events "card drown is a queen" and"card drawn is a heart. Suppose I shuffle the deck, randomly draw one card, and, before looking at the card, I ask you what is the probability that it is a "queen'. What is your answer? b) Then I peek at the card and tell you that it is a "heart." Now, what is the probability that the card is a "queen"? c) How does this answer compare to the previous? Did the additional information that the card was a heart change the probability that it was a queen? d) What can we conclude about the events "card drawn is a queen" and "card drown is a heart"? e) Furthermore, suppose that after I drew the card and looked at it, I had told you the card was not a heart". What would be the probability the card is a queen? f) Did this additional information change the probability that it was a "queen"? What can you conclude now about the dependence or independence of these three events? In equation form: P(queen Icard is a heart) P (Q IH) P (Q) P(queen Icard is not a heart ) P (Q Inot H) P (Q) Therefore, P(Q) P(QIH): P(Qinot H), and the events are (independent/dependent?)Explanation / Answer
a)
P (Queen|Total)=4/52
b)
P (Queen|Heart)=1/13
c)
The probability doesnt change since, in the previous one (with the full deck), we have a possibility of choosing 4 out of 52 and in this one, it is 1 out of 13.
d)
The events are said to be non-mutually exclusive
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