You’re friends with two twins: Ella and Emma. They are identical in every way as far as you can tell, except one. You can tell them apart when playing rock-paper-scissors; Ella beats you one in three times (as would be expected), but Emma somehow always guesses what you will do and beats you in every game. One day, you run into a random twin and play rock-paper-scissors five times with her; you lose every game. What is the probability that it’s Emma you encountered?

You’re friends with two twins: Ella and Emma. They are identical in every way as far as you can tell, except one. You can tell them apart when playing rock-paper-scissors; Ella beats you one in three times (as would be expected), but Emma somehow always guesses what you will do and beats you in every game. One day, you run into a random twin and play rock-paper-scissors five times with her; you lose every game. What is the probability that it’s Emma you encountered?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Similar questions

The Jets play 16 football games this season. So far they have 3 wins and 4 losses. If they can win all the rest, how many wins and losses will they have for the season
I have 8 coins in my pocket, some are quarters and some are dimes. If I have $1.10 in my pocket, how many of each kind of coin do I have? Find out by solving a system. I have 0 x quarters and 14 x dimes.
Sessa, an ancient wise man, visited the king of his nation and showed him a new game. The board was 8 squares by 8 squares. Two players would be given 16 pieces each, lined up on either side of the board. The pieces moved in set ways, and the purpose of the game was to move your pieces to trap the King piece of the other player. As you have probably figured out, Sessa invented chess. His king was utterly delighted at the game - war without bloodshed! - and asked Sessa what he would like in return. In the ancient bombastic style, the King said the request could include up to half of his kingdom. (That was not meant literally.) Sessa asked for the game board to be brought before him. "Highness," he said, "I ask for a grain of rice on the first square. Tomorrow, two grains of rice on the second square. The day after, 4 grains of rice on the third square. On the fourth day, 8 grains of rice. And so on, until the board is full in two months." The king and his ministers laughed…
A box office sells tickets for a concert at two different prices: $35 and $55. Thebox office sold a total of 95 tickets at a value of $4325 today. How many of eachof the different tickets did the box office sell?
the number of places you can visit for dinner, if you have three different places to eat Chinese food; three for Italian food and five for typical salvadoran food.
You have a bag of poker chips, containing 2 white, 1 red, and 3 blue chips. White chips are worth $5, red chips are worth $10 and blue chips are worth $20. You need $20 worth of chips in order to see someone's raise, so you take chips out of the bag one at a time, noting the color of each one as it's removed, and stop when the total value of the chips removed is at least $20. How many sequences of chip colors are possible when you do this? (A) 0 (В) 9 (С) 5 (D) 10 (E) 3 (F) 11 (G) 8 (Н) 7
A group of three friends have 3 different jobs. Mallory(m) makes $9 an hour at Kroger, Chandler(c) makes $11 at HEB, and Sophia(s) makes $8 at Cinemark. All together they worked a total of 40 hours and earned $370. Mallory worked twice as many hours as Chandler. How many hours did each friend work?
The age of two friends A and B differ by 3 years. A’s father D is twice as old as A and B is twice as old as his sister C. The ages of C and D differ by 30 years. Find the ages of A and B.