What is the probability that natasha wins the match

Assignment Help Mathematics

Reference no: EM13179125

Natasha and Allison are playing a tennis match where the winner must win 2 sets in order to win the match.

Natasha starts strong but tires quickly. The probability that Natasha wins the first set is 0.7. However, the probability she wins the second set is only 0.55. And if a third set is needed, the probability that Natasha wins the third set is only 0.35.

Put all this information into a tree diagram to answer the following questions.

(a) What is the probability that Natasha wins the match?

(b) If Allison wins the first set, what is the conditional probability that Natasha, instead, ends up winning the match?

(d) What is the probability that 3 sets will be played?

Reference no: EM13179125

Questions Cloud

Find an equation for the planet orbit : Find an equation for the planet's orbit. (Place the origin at the center of the orbit with the sun on the x-axis.

Estimate the true proportion of heads : Question: Estimate the true proportion of heads. Use a 95% confidence interval. Don't forget to check the conditions first.

Find the height of the window : Find the height of the window x = 24 in. from the center of the base. (Round your answer to one decimal place.)

Committee of the jse securities exchange : Information that a listed company has incurred exceptionally high losses during a financial year has been disclosed.

What is the probability that natasha wins the match : Natasha and Allison are playing a tennis match where the winner must win 2 sets in order to win the match.

Find the rate at which water is being pumped : find the rate at which water is being pumped into the tank in cubic centimeters per minute.

Realizing the potential of web-based internal equity tools : Assess the barriers that prevent organizations from realizing the potential of Web-based internal equity tools and propose three (3) approaches to overcome those barriers. (200 words, please cite your source)

Make up a differential equation : Make up a differential equation that you feel confident possesses only the trivial solution y = 0. Explain your reasoning.

Use shadow costs to calculate the total cost in this case : Suppose the minimum number of test tubes is increased to 3000. Use shadow costs to calculate the total cost in this case.

User Account

All Pages