Answered step by step
Verified Expert Solution
Link Copied!

Question

1 Approved Answer

Juwu u.-....._-_._.. __. (1) Two fair 6-sided dice are rolled. What is the probability (a) that doubles are rolled (i.e. that the two dice show

image text in transcribed
Juwu u.-....._-_._.. __. (1) Two fair 6-sided dice are rolled. What is the probability (a) that \"doubles\" are rolled (i.e. that the two dice show the same number)? (b) that the sum rolled is 9? (c) that exactly one of the dice shows a \"3\"? (d) that at least one of the dice shows a \"3\"? (2) A standard deck of 52 cards has 13 ranks (ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, jack, queen, king) and 4 suits (spades, hearts, diamonds, and clubs), such that there is exactly one card for any given rank and suit. The deck is randomly arranged. What is the probability that (a) the top card is an ace or a king. (b) the top card is spades and the second card is clubs. (c) the top card is spades and the second card is an ace. ((1) the top 3 cards are all spades. (e) the top 4 cards include 3 different ranks, with one rank apprears twice (for example, an ace of hearts, a 3 of clubs, a 3 of hearts, and a 7 of spades). (3) A senate committee consists of 5 Republicans, 6 Democrats, and 2 Independents. A subcommittee of 3 members is randomly chosen. What is the probability that the subcommittee (a) consists of 3 Republicans? / (b) consists of 1 Republican, 1 Democrats, and 1 Independent? (4) The letters of the word \"sixteen\" are randomly arranged. What is the probability that the two e's are not next to each other? (5) At a hospital's emergency room, patients are classied and 20% of them are critical, 30% are serious, and 50% are stable. Of the critical ones, 30% die; of the serious, 10% die; and of the stable, 1% die. Given that a patient dies, what is the conditional probability that the patient was classied as critical? (6) Each of the 12 students in a class was given a fair 12sided die. In addition, each student is numbered from 1 to 12. (a) If the students roll their dice, what is the probability that there is at least a \"match\" (e.g. student 4 rolls a 4)? (b) If you are a member of this class, what is the probability that at least one of the other 11 students rolls the same number as you do

Step by Step Solution

There are 3 Steps involved in it

Step: 1

blur-text-image

Get Instant Access to Expert-Tailored Solutions

See step-by-step solutions with expert insights and AI powered tools for academic success

Step: 2

blur-text-image

Step: 3

blur-text-image

Ace Your Homework with AI

Get the answers you need in no time with our AI-driven, step-by-step assistance

Get Started

Recommended Textbook for

Technology Ventures From Idea To Enterprise

Authors: Thomas Byers

5th Edition

1260048497, 9781260048490

More Books

Students also viewed these Mathematics questions

Question

Go, do not wait until I come

Answered: 1 week ago