Asked Nov 6, 2019

Nancy and Karen play a game of cards as follows. Nancy draws 3 cards out of a regular deck of 52 cards without replacement: if she draws at least one ace, she wins. Otherwise, Karen wins. Suppose they play the games 10 times, and after each time, the cards are placed back in the deck and reshuffled.

(a) Find the probability that Nancy wins exactly 4 times.

(b) Find the expected number of times Karen wins.


Expert Answer

Step 1

From the given information,

Total cards = 52.

Number of aces = 4,

Number of draws (without replacement) = 3

Step 2


It is required to calculate that Nancy wins exactly four times.


Image Transcriptionclose

P(She drwas at least on ace ) = 1- P(no ace) 48 47 46 =1-_> 52 51 50 0.21

Step 3

The probability that Nancy wins e...


Image Transcriptionclose

10 P(wins 4) (0.21) (1-0.21) =0.09


Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in



Related Statistics Q&A

Find answers to questions asked by student like you
Show more Q&A

Q: How many license plates can be made using two letters followed by four digits (0-9), allowing repeti...

A: From this given information, license plates can be made using two letters followed by four digits (0...


Q: At a dog show, there are 26 tickets in a raffle cup for the basket I want (including mine).  What is...

A: The total number of tickets are 26 and only one ticket per person in the cup is allowed.


Q: Statistics Question

A: Hypotheses:Denote μ1, μ2 as the true average number of days spent in the hospital for childbirth, by...


Q: Comparison between two diets in obese children, one low-fat and one low-carb 8 week intervention wit...

A: A).The standard deviations of low-fat and low-carb groups are 8.4 and 7.7 respectively. The sample s...


Q: Suppose that the duration of a particular type of criminal trial is known to be normally distributed...

A: a)It is given that criminal trial is known to be normally distributed with a mean of 20 days and a s...


Q: Suppose the lengths of the pregnancies of a certain animal are approximately normally distributed wi...

A: From the given information,Mean (μ) =272days and standard deviation (σ) =19daysSample size (n) =51


Q: Question 3 of 7 Game consoles: A poll surveyed 341 video gamers, and 109 of them said that they pref...

A: It is given that in the survey, it is found that 109 out of 341 video gamers said that they prefer p...


Q: I have attached a picture of the question.

A: Hello there! there are more than one question. According to our policies we cannot answer more than ...


Q: Assume that a procedure yields a binomial distribution with n=1222n=1222 trials and the probability ...

A: It is given that the random variable X follows a binomial distribution with n=1,222 and p=0.38.The m...