You are playing a game with your friend. You win with 55% probability,

arneguet9k 2021-11-19 Answered
You are playing a game with your friend. You win with 55% probability, your friend 30%. There is no draw. You decide to play a series of games. What is your probability of winning the series if the player with
a) 5 wins?
b) 6 wins?
You can still ask an expert for help

Want to know more about Probability?

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question

Expert Answer

Sarythe
Answered 2021-11-20 Author has 11 answers
Step 1
Here let the event of winning me is E1
Let the event of winning my friend is E2
The probability of winning mine P(E1)=55100=0.55
The probability of winning of my friend P(E2)=30100=0.3
Step 2
Now,
a) the probability of winning of mine if my friend win 5 times
P(E1)P(E2)×5=0.550.3×5=0.95
b) the probability of winning mine if my friends win 6 times
P(E1)P(E2)×6=0.550.3×6=1.25
Not exactly what you’re looking for?
Ask My Question

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Relevant Questions

asked 2021-08-20
Let X be a normal random variable with mean 12 and variance 4. Find the value of c such that P{X>c}=.10.
asked 2021-08-19
Let X represent the difference between the number of heads and the number of tails obtained when a coin is tossed n times.
What are the possible values of X?
asked 2021-08-19
Based on the Normal model N(100, 16) describing IQ scores, what percent of peoples
asked 2022-02-13
What are the mean, median, and mode of the following numbers?: 1, 4, 5, 6, 10, 25?
asked 2021-11-13
At a​ restaurant, each dinner special consists of an​ appetizer, a​ salad, and an entr​ée.
The choices of​ appetizer, salad, and entr​ée are shown below. Use the choices to answer parts ​(a) through (d).
AppetizerSaladEntreeMeatballsHouseRavioliAntipastoGreensFettuccineSoupGreek
​ a) Determine the number of points in the sample space.
The number of points in the sample space is...?
​b) If a customer randomly selects one of the dinner​ specials, determine the probability the customer selects meatballs for the appetizer.
The probability is...?
​c) Find the probability that the customer selects the greens Salad and fettuccine.
The probability is...?
​d) Find the probability that the customer selects an entr​ée other than ravioli.
The probability is...?
asked 2021-11-21
Consider two products, A and B, both of which have the same purchase probability.
Product A has a population size of 1000 and a 50 percent awareness probability. Product B has a population size of 10,000 and a 5 percent awareness probability. Which product do you expect to sell more?
a. Product A
b. Product B
asked 2022-02-15
If A and B are two independent random variables, is P(AB)<P(A)?