Only 3 hearts, 7 clubs and 2 spades were found undamaged in a moth-eaten deck of ancient playing cards. Suppose on every single turn, you randomly select a card from the set of these 12 cards, see it and put it back in the deck. You keep doing this repeatedly. a. What is the probability that you get the first heart on the 5th turn? b. How many turns are expected to get one non-spade card? c. What is the variance of the number of turns required to get one club?
Only 3 hearts, 7 clubs and 2 spades were found undamaged in a moth-eaten deck of ancient playing cards. Suppose on every single turn, you randomly select a card from the set of these 12 cards, see it and put it back in the deck. You keep doing this repeatedly. a. What is the probability that you get the first heart on the 5th turn? b. How many turns are expected to get one non-spade card? c. What is the variance of the number of turns required to get one club?
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
Related questions
Question
Transcribed Image Text:Only 3 hearts, 7 clubs and 2 spades were found undamaged in a moth-eaten deck of ancient
playing cards. Suppose on every single turn, you randomly select a card from the set of these 12
cards, see it and put it back in the deck. You keep doing this repeatedly.
a. What is the probability that you get the first heart on the 5th turn?
b. How many turns are expected to get one non-spade card?
c. What is the variance of the number of turns required to get one club?
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 1 images
Recommended textbooks for you