A deck of cards consists of 52 cards. There are 4 suits and 13 values. They are Suit Values
Hearts A 2 3 4 5 6 7 8 9 10 J Q K
Diamonds A 2 3 4 5 6 7 8 9 10 J Q K
Spades A 2 3 4 5 6 7 8 9 10 J Q K
Clubs A 2 3 4 5 6 7 8 9 10 J Q K
Suppose we roll a fair 6 sided die and then pick a number of cards from a well shuffled deck equalto twice the number showing on the die. (For example, if the die shows 4, then we pick 8 cards).
A) What is the probability of observing a number larger than 1 on the die roll?
B) What is the conditional probability of getting 3 queens from the deck of cards given that the die showed the number 2?
C) What is the probability that the number of queens in our hand equals 3?
D) Conditional on knowing that the number of queens in our hand equals 3, what is the conditional probability that the die showed the number 2?