Homework SourseExercise 71 Some conditional probabilities are easy to see f
Exercise 7.1. Some conditional probabilities are easy to see from the applications. This question focuses on these kinds.
The experiment under discussion is that three cards are to be selected from a standard deck of 52. No card is returned. That is, the first is selected at random from a set 52, the next from the 51 that remain after the first card is removed, and the third from the 50 cards that remain. We label some events.
True or False: B D.
True or False: E C.
What is P (B |A )?
What is P (B )?
What is P (C |B )?
What is P (C )?
What is P (D )?
What is P (E |D )?
What is P (E )?
| A = | First card is a spade, |
| B = | First and second cards are spades, |
| C = | All three cards are spades, |
| D = | First and second cards belong to the same suit, |
| E = | All three cards belong to the same suit. |
Solution
True or False: B D.
TRUE
True or False: E C.
FALSE
What is P (B |A )? 1/52 / 2/52 = 0.5
What is P (B )? = 2/52
What is P (C |B )? = 2/52 / 3/52 = 0.67
What is P (C )? 3/52
for the other literals I can gladly help you but you should post it in a new question
