a) Let the event E be the sum of a pair of dice that is greater than 11. List the events in EC. b) Julia sets up a passcode on her smart phone, which allows only four-digit codes. A spy sneaks a look at Julia's smart phone and sees her fingerprints on the screen over four numbers. What is the probability the spy is able to unlock the smart phone on his first try? Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.

Q: Joe rolls a 6-die and Magdalena rolls an 8-die. What is the probability that Joe rolls a larger…

A: Given information: Joe rolls a 6-faced die. The possible numbers that are rolled by Joe are 1, 2, 3,…

Q: In the multiple choice experiment with four possible choices, what is the probability that the test…

A:

Q: John plans to toss a die until he observes two even numbers. What is the chance that the 2nd even…

A: For a dice roll the sample space is given by: S=1,2,3,4,5,6 so the probability of getting odd number…

Q: While Kiara is deciding which game to play, Denny and Rayanna play Spin the Wheel. In this game, the…

A:

Q: It is a collection of simple events. Answer must be in small letters.

A: It is a collection of simple events.

Q: Suppose a test consists of 10-multiple choice questions and each question has four choices.Calculate…

A: Given data, Number of questions n=10 probability of correct answer is p=14   P(exactly two questions…

Q: a) A bux in a supply room contains twenty 40W light bulbs, fifteen 70W bulbs, and fifteen 75W bulbs.…

A: Suppose supply room contains twenty 40W light bulbs, fifteen 70W light bulbs, And fifteen 75W light…

Q: What is the probability of getting either a sum of 5 or at least one 5 in the roll of a pair of​…

A: Suppose a pair of dice is rolled, its sample space is written as follows:

Q: A student must take a multiple choice exam with only one answer, the exam consists of 20 questions…

A: Let X =  number of correct answers X ~ bin (n , p) where, n = 20 p = probability of choosing the…

Q: The fill amount of bottles of a soft drink is normally distributed, with a mean of 1.0 liter and a…

A: Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: Suppose that you are going to throw fair dice . What is probability of getting 6

A: The sample space for throwing a fair dice is: S={1, 2, 3, 4, 5, 6}.

Q: In the toss of three dice, what is the probability of obtaining 2 twos and 1 four? Please answer…

A: Answer:- Given, three dice are tossed,                what is the probability of obtaining 2 twos…

Q: Suppose that two fair dice are rolled. find the probability that the number on the first dice is a 4…

A:

Q: Samir has a big bag of wooden blocks in assorted shapes. He randomly picks a block from the bag,…

A: Step 1:Step 2: Step 3: Step 4:

Q: Steve has 12 biscuits in a tin. There are 5 digestive and 7 chocolate biscuits. Steve takes two…

A: Given that, Total number of biscuits = 12 5 digestive biscuits and 7 chocolate biscuits We to find…

Q: Find the probability of pulling a king in a deck of cards (poker cards)?

A: Obtain the probability of pulling a king in a deck of cards. The probability of pulling a king in a…

Q: Dr. Neel asks you if you would like to play a game of chance. He has a jar filled with 100 marbles.…

A: Total marbles, n= 100 Probability of selecting Blue marble= probability of earn 1 point= P(B)=…

Q: What would the probability of selecting all 5 cards to be a Diamond or a Club

A: Combination Rule:The arrangement of r objects from n different objects is given by:

Q: A thief must randomly guess the correct 5 digit pin from a 8 key keypad. What's the probability he…

A: Here there are two possibilities 1) If repetition of number is allowed 2)if repetition of number is…

Q: When two balanced dice are rolled, there are 36 possible outcomes.   Find the number of the sum is a…

A: The maximum sum= 12 for (6,6) And the minimum sum=2 for (1,1) So, in 2 to 12 the multiple of 3 are…

Q: A game is played by rolling the two dice, three times (toss the two dice three times). What is the…

A: It is given that there are two dice that are thrown three times. Consider that D1 and D2 are defined…

Q: find the probability that the sum of the 2 dice is an even number or a number less than 5

A: When two dice are thrown then these following cases occur  sum Outcomes Number of outcomes…

Q: A pair of dice is rolled. What are the odds of rolling a sum of 4 or a sum of 7? The odds of rolling…

A:

Q: Emily rolls a pair of standard dice. What is the probability that she gets a sum of 8 or at least…

A: Here we have to find probability that Emily gets a sum of 8 or at least one of the dice shows a 3…

Q: In how many ways can they be placed into the five positions of the high committee if i. there is no…

A: HERE GIVEN JESS AND HER 4 CLASSMATES HAVE BEEN SELECTED TO FORM COMMITEE

Q: A hand consists of 4 cards from a well-shuffled deck of 52 cards. a. Find the total number of…

A: The question is about counting and probability.Given :No. of cards in a deck = 52No. of cards in a…

Q: A jar contains 12 marbles: four red, five blue, and three orange. If you pull three marbles without…

A: A jar contains total marbles =12the total red marbles in jar =4the total blue marbles in jar =5the…

Q: 1. Eloisa flipped a coin four times. What is the probability that it will land on heads exactly…

A: It is given that  P( head ) = p = 0.5 n = 4 X~B( 4, 0.5 ).   Note: According to Bartleby expert…

Q: Q5. Multiple choice circle your answer. Which of the following pairs of events is mutually…

A:

Q: Create a table that shows all of the possibilities for rolling a dice and flipping a coin. Then…

A: When a die and coin are tossed, then the sample space is given…

Q: Emily rolls a pair of standard dice. What is the probability that she gets a sum of 8 or at least…

A: Given: Pair of dice rolled.Consider, A-sum on die is 8                B-one of the dice has number…

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.